Secret Sharing Schemes from Linear Codes over F_(2)+vF_(2)+v^(2)F_(2)  

作　　者：WANG Yaru LI Fulin ZHU Shixin 

机构地区：[1]School of Mathematics,Hefei University of Technology,Hefei 230000,China

出　　处：《Chinese Journal of Electronics》2021年第5期895-901,共7页电子学报（英文版）

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

摘　　要：Secret sharing is an important concept in cryptography,however it is a difficult problem to determine the access structure of the secret sharing scheme based on a linear code.In this work,we construct twoweight linear codes over finite field by using linear codes over finite ring.We first study MacDonald codes over the finite ring F_(2)+vF_(2)+v^(2)F_(2) with v^(3)=v.Then we give torsion codes of MacDonald codes of type α and β,which are twoweight linear codes.Finally we give the access structures of secret sharing schemes based on the dual codes of the two-weight codes.

关 键 词：Secret sharing Finite ring MacDonald codes Torsion codes Access structure 

分 类 号：TN918.1[电子电信—通信与信息系统]