Open AccessTwo‐Weight Linear Codes and Their Applications in Secret Sharing
Author(s) -
Wang Yaru,
Li Fulin,
Zhu Shixin
Publication year - 2019
Publication title -
chinese journal of electronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.267
H-Index - 25
eISSN - 2075-5597
pISSN - 1022-4653
DOI - 10.1049/cje.2019.04.006
Subject(s) - secret sharing , construct (python library) , access structure , homomorphic secret sharing , computer science , shamir's secret sharing , mathematics , code (set theory) , linear code , torsion (gastropod) , secure multi party computation , discrete mathematics , theoretical computer science , algorithm , cryptography , block code , decoding methods , computer network , programming language , set (abstract data type) , medicine , surgery
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.