A new class of irreducible pentanomials for polynomial-based multipliers in binary fields View Full Text


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Article Info

DATE

2018-11-09

AUTHORS

Gustavo Banegas, Ricardo Custódio, Daniel Panario

ABSTRACT

We introduce a new class of irreducible pentanomials over F2 of the form f(x)=x2b+c+xb+c+xb+xc+1. Let m=2b+c and use f to define the finite field extension of degree m. We give the exact number of operations required for computing the reduction modulo f. We also provide a multiplier based on Karatsuba algorithm in F2[x] combined with our reduction process. We give the total cost of the multiplier and found that the bit-parallel multiplier defined by this new class of polynomials has improved XOR and AND complexity. Our multiplier has comparable time delay when compared to other multipliers based on Karatsuba algorithm. More... »

PAGES

1-15

References to SciGraph publications

  • 2013. Impact of Optimized Field Operations AB,AC and AB + CD in Scalar Multiplication over Binary Elliptic Curve in PROGRESS IN CRYPTOLOGY – AFRICACRYPT 2013
  • 2016. Software Implementation of Koblitz Curves over Quadratic Fields in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2016
  • 2014. Efficient Pairings and ECC for Embedded Systems in ADVANCED INFORMATION SYSTEMS ENGINEERING
  • 2012. NEON Crypto in CRYPTOGRAPHIC HARDWARE AND EMBEDDED SYSTEMS – CHES 2012
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    http://scigraph.springernature.com/pub.10.1007/s13389-018-0197-6

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    http://dx.doi.org/10.1007/s13389-018-0197-6

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