A Synthesis of Multi-Precision Multiplication and Squaring Techniques for 8-Bit Sensor Nodes: State-of-the-Art Research and Future Challenges View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-03

AUTHORS

Zhe Liu, Hwajeong Seo, Howon Kim

ABSTRACT

Multi-precision multiplication and squaring are the performance-critical operations for the implementation of public-key cryptography, such as exponentiation in RSA, and scalar multiplication in elliptic curve cryptography (ECC). In this paper, we provide a survey on the multi-precision multiplication and squaring techniques, and make special focus on the comparison of their performance and memory footprint on sensor nodes using 8-bit processors. Different from the previous work, our advantages are in at least three aspects. Firstly, this survey includes the existing techniques for multiprecision multiplication and squaring on sensor nodes over prime fields. Secondly, we analyze and evaluate each method in a systematic and objective way. Thirdly, this survey also provides suggestions for selecting appropriate multiplication and squaring techniques for concrete implementation of public-key cryptography. At the end of this survey, we propose the research challenges on efficient implementation of the multiplication and the squaring operations based on our observation. More... »

PAGES

284-299

References to SciGraph publications

  • 2005. Energy-Efficient Software Implementation of Long Integer Modular Arithmetic in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2005
  • 2002-04-26. High-Speed Software Multiplication in F2m in PROGRESS IN CRYPTOLOGY —INDOCRYPT 2000
  • 2008. NanoECC: Testing the Limits of Elliptic Curve Cryptography in Sensor Networks in WIRELESS SENSOR NETWORKS
  • 2005. Elliptic Curve Cryptography in ENCYCLOPEDIA OF CRYPTOGRAPHY AND SECURITY
  • 2009. Energy-Efficient Implementation of ECDH Key Exchange for Wireless Sensor Networks in INFORMATION SECURITY THEORY AND PRACTICE. SMART DEVICES, PERVASIVE SYSTEMS, AND UBIQUITOUS NETWORKS
  • 2015-09. Multiprecision multiplication on AVR revisited in JOURNAL OF CRYPTOGRAPHIC ENGINEERING
  • 2006. Efficient Implementation of Public Key Cryptosystems on Mote Sensors (Short Paper) in INFORMATION AND COMMUNICATIONS SECURITY
  • 2013. Multi-precision Squaring for Public-Key Cryptography on Embedded Microprocessors in PROGRESS IN CRYPTOLOGY – INDOCRYPT 2013
  • 2012. Multi-precision Multiplication for Public-Key Cryptography on Embedded Microprocessors in INFORMATION SECURITY APPLICATIONS
  • 2007. Enabling Full-Size Public-Key Algorithms on 8-Bit Sensor Nodes in SECURITY AND PRIVACY IN AD-HOC AND SENSOR NETWORKS
  • 2004. Comparing Elliptic Curve Cryptography and RSA on 8-bit CPUs in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS - CHES 2004
  • 2014. New Speed Records for Montgomery Modular Multiplication on 8-Bit AVR Microcontrollers in PROGRESS IN CRYPTOLOGY – AFRICACRYPT 2014
  • 2013. NaCl on 8-Bit AVR Microcontrollers in PROGRESS IN CRYPTOLOGY – AFRICACRYPT 2013
  • 2011. Fast Multi-precision Multiplication for Public-Key Cryptography on Embedded Microprocessors in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2011
  • 2009. Batch Binary Edwards in ADVANCES IN CRYPTOLOGY - CRYPTO 2009
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11390-016-1627-5

    DOI

    http://dx.doi.org/10.1007/s11390-016-1627-5

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028760083


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0804", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Data Format", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/08", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Information and Computing Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "University of Luxembourg", 
              "id": "https://www.grid.ac/institutes/grid.16008.3f", 
              "name": [
                "Laboratory of Algorithmics, Cryptology and Security, University of Luxembourg, L-1359, Kirchberg, Luxembourg"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Liu", 
            "givenName": "Zhe", 
            "id": "sg:person.013144776623.84", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013144776623.84"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Pusan National University", 
              "id": "https://www.grid.ac/institutes/grid.262229.f", 
              "name": [
                "School of Computer Science and Engineering, Pusan National University, 609-735, Busan, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Seo", 
            "givenName": "Hwajeong", 
            "id": "sg:person.015101423711.26", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015101423711.26"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Pusan National University", 
              "id": "https://www.grid.ac/institutes/grid.262229.f", 
              "name": [
                "School of Computer Science and Engineering, Pusan National University, 609-735, Busan, Korea"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kim", 
            "givenName": "Howon", 
            "id": "sg:person.010610076315.82", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010610076315.82"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/11935308_37", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000175039", 
              "https://doi.org/10.1007/11935308_37"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/11935308_37", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000175039", 
              "https://doi.org/10.1007/11935308_37"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-28632-5_9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008174972", 
              "https://doi.org/10.1007/978-3-540-28632-5_9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-28632-5_9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008174972", 
              "https://doi.org/10.1007/978-3-540-28632-5_9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-38553-7_9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009383266", 
              "https://doi.org/10.1007/978-3-642-38553-7_9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-73275-4_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009898538", 
              "https://doi.org/10.1007/978-3-540-73275-4_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-73275-4_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009898538", 
              "https://doi.org/10.1007/978-3-540-73275-4_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-03356-8_19", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012320763", 
              "https://doi.org/10.1007/978-3-642-03356-8_19"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s13389-015-0093-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1015478192", 
              "https://doi.org/10.1007/s13389-015-0093-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/0-387-23483-7_131", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021349612", 
              "https://doi.org/10.1007/0-387-23483-7_131"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-44495-5_18", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025775208", 
              "https://doi.org/10.1007/3-540-44495-5_18"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/3-540-44495-5_18", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1025775208", 
              "https://doi.org/10.1007/3-540-44495-5_18"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-319-03515-4_15", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028254199", 
              "https://doi.org/10.1007/978-3-319-03515-4_15"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jss.2012.06.074", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030997602"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-35416-8_5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034940906", 
              "https://doi.org/10.1007/978-3-642-35416-8_5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-03944-7_9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1037936174", 
              "https://doi.org/10.1007/978-3-642-03944-7_9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-77690-1_19", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038588160", 
              "https://doi.org/10.1007/978-3-540-77690-1_19"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-540-77690-1_19", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038588160", 
              "https://doi.org/10.1007/978-3-540-77690-1_19"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-319-06734-6_14", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1038724880", 
              "https://doi.org/10.1007/978-3-319-06734-6_14"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0025-5718-1985-0777282-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041482767"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/11545262_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044926321", 
              "https://doi.org/10.1007/11545262_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/11545262_6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044926321", 
              "https://doi.org/10.1007/11545262_6"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-23951-9_30", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047137953", 
              "https://doi.org/10.1007/978-3-642-23951-9_30"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-642-23951-9_30", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047137953", 
              "https://doi.org/10.1007/978-3-642-23951-9_30"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1145/1029102.1029113", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1047765347"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.comcom.2010.05.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049861377"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1147/sj.294.0526", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1063184115"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.7763/ijcce.2013.v2.183", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1074030815"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1109/iccsnt.2011.6181997", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1094496856"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2016-03", 
        "datePublishedReg": "2016-03-01", 
        "description": "Multi-precision multiplication and squaring are the performance-critical operations for the implementation of public-key cryptography, such as exponentiation in RSA, and scalar multiplication in elliptic curve cryptography (ECC). In this paper, we provide a survey on the multi-precision multiplication and squaring techniques, and make special focus on the comparison of their performance and memory footprint on sensor nodes using 8-bit processors. Different from the previous work, our advantages are in at least three aspects. Firstly, this survey includes the existing techniques for multiprecision multiplication and squaring on sensor nodes over prime fields. Secondly, we analyze and evaluate each method in a systematic and objective way. Thirdly, this survey also provides suggestions for selecting appropriate multiplication and squaring techniques for concrete implementation of public-key cryptography. At the end of this survey, we propose the research challenges on efficient implementation of the multiplication and the squaring operations based on our observation.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11390-016-1627-5", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1320078", 
            "issn": [
              "1666-6046", 
              "1666-6038"
            ], 
            "name": "Journal of Computer Science and Technology", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "2", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "31"
          }
        ], 
        "name": "A Synthesis of Multi-Precision Multiplication and Squaring Techniques for 8-Bit Sensor Nodes: State-of-the-Art Research and Future Challenges", 
        "pagination": "284-299", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "8901485c62deb9db5d0da3652325a70bc91bd7093e84ef22c3b644e42b40b4f1"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11390-016-1627-5"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1028760083"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11390-016-1627-5", 
          "https://app.dimensions.ai/details/publication/pub.1028760083"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-10T19:59", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8681_00000522.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs11390-016-1627-5"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11390-016-1627-5'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11390-016-1627-5'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11390-016-1627-5'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11390-016-1627-5'


     

    This table displays all metadata directly associated to this object as RDF triples.

    159 TRIPLES      21 PREDICATES      49 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11390-016-1627-5 schema:about anzsrc-for:08
    2 anzsrc-for:0804
    3 schema:author N3c0e48d19cc04aaa9eddeb62e89f7826
    4 schema:citation sg:pub.10.1007/0-387-23483-7_131
    5 sg:pub.10.1007/11545262_6
    6 sg:pub.10.1007/11935308_37
    7 sg:pub.10.1007/3-540-44495-5_18
    8 sg:pub.10.1007/978-3-319-03515-4_15
    9 sg:pub.10.1007/978-3-319-06734-6_14
    10 sg:pub.10.1007/978-3-540-28632-5_9
    11 sg:pub.10.1007/978-3-540-73275-4_6
    12 sg:pub.10.1007/978-3-540-77690-1_19
    13 sg:pub.10.1007/978-3-642-03356-8_19
    14 sg:pub.10.1007/978-3-642-03944-7_9
    15 sg:pub.10.1007/978-3-642-23951-9_30
    16 sg:pub.10.1007/978-3-642-35416-8_5
    17 sg:pub.10.1007/978-3-642-38553-7_9
    18 sg:pub.10.1007/s13389-015-0093-2
    19 https://doi.org/10.1016/j.comcom.2010.05.013
    20 https://doi.org/10.1016/j.jss.2012.06.074
    21 https://doi.org/10.1090/s0025-5718-1985-0777282-x
    22 https://doi.org/10.1109/iccsnt.2011.6181997
    23 https://doi.org/10.1145/1029102.1029113
    24 https://doi.org/10.1147/sj.294.0526
    25 https://doi.org/10.7763/ijcce.2013.v2.183
    26 schema:datePublished 2016-03
    27 schema:datePublishedReg 2016-03-01
    28 schema:description Multi-precision multiplication and squaring are the performance-critical operations for the implementation of public-key cryptography, such as exponentiation in RSA, and scalar multiplication in elliptic curve cryptography (ECC). In this paper, we provide a survey on the multi-precision multiplication and squaring techniques, and make special focus on the comparison of their performance and memory footprint on sensor nodes using 8-bit processors. Different from the previous work, our advantages are in at least three aspects. Firstly, this survey includes the existing techniques for multiprecision multiplication and squaring on sensor nodes over prime fields. Secondly, we analyze and evaluate each method in a systematic and objective way. Thirdly, this survey also provides suggestions for selecting appropriate multiplication and squaring techniques for concrete implementation of public-key cryptography. At the end of this survey, we propose the research challenges on efficient implementation of the multiplication and the squaring operations based on our observation.
    29 schema:genre research_article
    30 schema:inLanguage en
    31 schema:isAccessibleForFree false
    32 schema:isPartOf N147cddde983f440b86ea18f4a040c6dc
    33 Nd832a8913e814d24a79e164e123dd66e
    34 sg:journal.1320078
    35 schema:name A Synthesis of Multi-Precision Multiplication and Squaring Techniques for 8-Bit Sensor Nodes: State-of-the-Art Research and Future Challenges
    36 schema:pagination 284-299
    37 schema:productId N5f3d419bc4b64fb08ceafdf5b359ad92
    38 Nb33bd85adf244aac8d2ca9a2f487260f
    39 Nf8424368918c4d009ebf01aa75abd94c
    40 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028760083
    41 https://doi.org/10.1007/s11390-016-1627-5
    42 schema:sdDatePublished 2019-04-10T19:59
    43 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    44 schema:sdPublisher N4f0b1a7bee8e418cbf8992058f07e79d
    45 schema:url http://link.springer.com/10.1007%2Fs11390-016-1627-5
    46 sgo:license sg:explorer/license/
    47 sgo:sdDataset articles
    48 rdf:type schema:ScholarlyArticle
    49 N147cddde983f440b86ea18f4a040c6dc schema:volumeNumber 31
    50 rdf:type schema:PublicationVolume
    51 N3c0e48d19cc04aaa9eddeb62e89f7826 rdf:first sg:person.013144776623.84
    52 rdf:rest Nbaad2d42f2144f97a332516bb9340851
    53 N4f0b1a7bee8e418cbf8992058f07e79d schema:name Springer Nature - SN SciGraph project
    54 rdf:type schema:Organization
    55 N5f3d419bc4b64fb08ceafdf5b359ad92 schema:name doi
    56 schema:value 10.1007/s11390-016-1627-5
    57 rdf:type schema:PropertyValue
    58 Nb33bd85adf244aac8d2ca9a2f487260f schema:name dimensions_id
    59 schema:value pub.1028760083
    60 rdf:type schema:PropertyValue
    61 Nbaad2d42f2144f97a332516bb9340851 rdf:first sg:person.015101423711.26
    62 rdf:rest Ne11464f44d9649f0a517ede970b8d70a
    63 Nd832a8913e814d24a79e164e123dd66e schema:issueNumber 2
    64 rdf:type schema:PublicationIssue
    65 Ne11464f44d9649f0a517ede970b8d70a rdf:first sg:person.010610076315.82
    66 rdf:rest rdf:nil
    67 Nf8424368918c4d009ebf01aa75abd94c schema:name readcube_id
    68 schema:value 8901485c62deb9db5d0da3652325a70bc91bd7093e84ef22c3b644e42b40b4f1
    69 rdf:type schema:PropertyValue
    70 anzsrc-for:08 schema:inDefinedTermSet anzsrc-for:
    71 schema:name Information and Computing Sciences
    72 rdf:type schema:DefinedTerm
    73 anzsrc-for:0804 schema:inDefinedTermSet anzsrc-for:
    74 schema:name Data Format
    75 rdf:type schema:DefinedTerm
    76 sg:journal.1320078 schema:issn 1666-6038
    77 1666-6046
    78 schema:name Journal of Computer Science and Technology
    79 rdf:type schema:Periodical
    80 sg:person.010610076315.82 schema:affiliation https://www.grid.ac/institutes/grid.262229.f
    81 schema:familyName Kim
    82 schema:givenName Howon
    83 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010610076315.82
    84 rdf:type schema:Person
    85 sg:person.013144776623.84 schema:affiliation https://www.grid.ac/institutes/grid.16008.3f
    86 schema:familyName Liu
    87 schema:givenName Zhe
    88 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013144776623.84
    89 rdf:type schema:Person
    90 sg:person.015101423711.26 schema:affiliation https://www.grid.ac/institutes/grid.262229.f
    91 schema:familyName Seo
    92 schema:givenName Hwajeong
    93 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015101423711.26
    94 rdf:type schema:Person
    95 sg:pub.10.1007/0-387-23483-7_131 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021349612
    96 https://doi.org/10.1007/0-387-23483-7_131
    97 rdf:type schema:CreativeWork
    98 sg:pub.10.1007/11545262_6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044926321
    99 https://doi.org/10.1007/11545262_6
    100 rdf:type schema:CreativeWork
    101 sg:pub.10.1007/11935308_37 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000175039
    102 https://doi.org/10.1007/11935308_37
    103 rdf:type schema:CreativeWork
    104 sg:pub.10.1007/3-540-44495-5_18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1025775208
    105 https://doi.org/10.1007/3-540-44495-5_18
    106 rdf:type schema:CreativeWork
    107 sg:pub.10.1007/978-3-319-03515-4_15 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028254199
    108 https://doi.org/10.1007/978-3-319-03515-4_15
    109 rdf:type schema:CreativeWork
    110 sg:pub.10.1007/978-3-319-06734-6_14 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038724880
    111 https://doi.org/10.1007/978-3-319-06734-6_14
    112 rdf:type schema:CreativeWork
    113 sg:pub.10.1007/978-3-540-28632-5_9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008174972
    114 https://doi.org/10.1007/978-3-540-28632-5_9
    115 rdf:type schema:CreativeWork
    116 sg:pub.10.1007/978-3-540-73275-4_6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009898538
    117 https://doi.org/10.1007/978-3-540-73275-4_6
    118 rdf:type schema:CreativeWork
    119 sg:pub.10.1007/978-3-540-77690-1_19 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038588160
    120 https://doi.org/10.1007/978-3-540-77690-1_19
    121 rdf:type schema:CreativeWork
    122 sg:pub.10.1007/978-3-642-03356-8_19 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012320763
    123 https://doi.org/10.1007/978-3-642-03356-8_19
    124 rdf:type schema:CreativeWork
    125 sg:pub.10.1007/978-3-642-03944-7_9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037936174
    126 https://doi.org/10.1007/978-3-642-03944-7_9
    127 rdf:type schema:CreativeWork
    128 sg:pub.10.1007/978-3-642-23951-9_30 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047137953
    129 https://doi.org/10.1007/978-3-642-23951-9_30
    130 rdf:type schema:CreativeWork
    131 sg:pub.10.1007/978-3-642-35416-8_5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034940906
    132 https://doi.org/10.1007/978-3-642-35416-8_5
    133 rdf:type schema:CreativeWork
    134 sg:pub.10.1007/978-3-642-38553-7_9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009383266
    135 https://doi.org/10.1007/978-3-642-38553-7_9
    136 rdf:type schema:CreativeWork
    137 sg:pub.10.1007/s13389-015-0093-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015478192
    138 https://doi.org/10.1007/s13389-015-0093-2
    139 rdf:type schema:CreativeWork
    140 https://doi.org/10.1016/j.comcom.2010.05.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049861377
    141 rdf:type schema:CreativeWork
    142 https://doi.org/10.1016/j.jss.2012.06.074 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030997602
    143 rdf:type schema:CreativeWork
    144 https://doi.org/10.1090/s0025-5718-1985-0777282-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1041482767
    145 rdf:type schema:CreativeWork
    146 https://doi.org/10.1109/iccsnt.2011.6181997 schema:sameAs https://app.dimensions.ai/details/publication/pub.1094496856
    147 rdf:type schema:CreativeWork
    148 https://doi.org/10.1145/1029102.1029113 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047765347
    149 rdf:type schema:CreativeWork
    150 https://doi.org/10.1147/sj.294.0526 schema:sameAs https://app.dimensions.ai/details/publication/pub.1063184115
    151 rdf:type schema:CreativeWork
    152 https://doi.org/10.7763/ijcce.2013.v2.183 schema:sameAs https://app.dimensions.ai/details/publication/pub.1074030815
    153 rdf:type schema:CreativeWork
    154 https://www.grid.ac/institutes/grid.16008.3f schema:alternateName University of Luxembourg
    155 schema:name Laboratory of Algorithmics, Cryptology and Security, University of Luxembourg, L-1359, Kirchberg, Luxembourg
    156 rdf:type schema:Organization
    157 https://www.grid.ac/institutes/grid.262229.f schema:alternateName Pusan National University
    158 schema:name School of Computer Science and Engineering, Pusan National University, 609-735, Busan, Korea
    159 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...