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Two-Weight Linear Codes and Their Applications in Secret Sharing

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Linear codes with few weighs have many applications in secret sharing. Determining the access structure of the secret sharing scheme based on a linear code is a very difficult problem. We provides a method to construct a class of two-weight torsion codes over finite non-chain ring. We determine the minimal codewords of these torsion codes over the finite non-chain ring. Based on the two-weight codes, we find the access structures of secret sharing schemes.

Finite non-chain ringMacDonald codesTorsion codesSecret sharingAccess structure

WANG Yaru、LI Fulin、ZHU Shixin

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School of Mathematics, Hefei University of Technology, Hefei 230000, China

This work is supported by the National Natural Science Foundation of ChinaThis work is supported by the National Natural Science Foundation of ChinaThis work is supported by the National Natural Science Foundation of ChinaNatural Science Foundation of Anhui Province

6177216860973125615721681508085MA13

2019

10.1049/cje.2019.04.006

中国电子杂志(英文版)

中国电子杂志(英文版)

CSTPCDCSCDSCIEI
ISSN：1022-4653
年,卷(期)：2019.28(4)
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