Two families of two-weight codes over Z4 View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-09-12

AUTHORS

Minjia Shi, Wang Xuan, Patrick Solé

ABSTRACT

Two infinite families of Z4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {Z}_4$$\end{document}-codes with two nonzero Lee weights are constructed by their generator matrices. Their Gray images are nonlinear with the same weight distribution as that of the two-weight binary codes of type SU1 in the sense of (Calderbank, Kantor, 1986). More... »

PAGES

2493-2505

References to SciGraph publications

  • 2014-08-09. Optimal binary codes from one-lee weight codes and two-lee weight projective codes over ℤ4 in JOURNAL OF SYSTEMS SCIENCE AND COMPLEXITY
  • 2016-09-27. Two and three weight codes over Fp+uFp in CRYPTOGRAPHY AND COMMUNICATIONS
  • 2019-08-14. One-weight and two-weight ℤ2ℤ2[u,v]-additive codes in CRYPTOGRAPHY AND COMMUNICATIONS
  • 2015-01-22. Optimal p-ary codes from one-weight and two-weight codes over in JOURNAL OF SYSTEMS SCIENCE AND COMPLEXITY
  • 2017-07-18. On two-weight Z2k-codes in DESIGNS, CODES AND CRYPTOGRAPHY
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s10623-020-00796-x

    DOI

    http://dx.doi.org/10.1007/s10623-020-00796-x

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