Construction of one-Lee weight and two-Lee weight codes over Fp + vFp View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2016-03-18

AUTHORS

Minjia Shi, Yong Luo, Patrick Solé

ABSTRACT

This paper is devoted to the construction of one-Lee weight codes and two-Lee weight codes over Fp + vFp(v2 = v) with type p2k1pk2pk3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${p^{2{k_1}}}{p^{{k_2}}}{p^{{k_3}}}$$\end{document} based on two different distance-preserving Gray maps from ((Fp + vFp)n, Lee weight) to (Fp2n, Hamming weight), where p is a prime. Moreover, the authors prove that the obtained two-Lee weight codes are projective only when p = 2. More... »

PAGES

484-493

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11424-016-5062-z

DOI

http://dx.doi.org/10.1007/s11424-016-5062-z

DIMENSIONS

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