Two-Weight Linear Codes and Their Applications in Secret Sharing  

作　　者：WANG Yaru LI Fulin ZHU Shixin 

机构地区：[1]School of Mathematics, Hefei University of Technology

出　　处：《Chinese Journal of Electronics》2019年第4期706-711,共6页电子学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.61772168,No.60973125,No.61572168);the Natural Science Foundation of Anhui Province(No.1508085MA13)

摘　　要：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.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.

关 键 词：Finite non-chain ring MACDONALD CODES TORSION CODES SECRET sharing Access structure 

分 类 号：TN[电子电信]