The optimal linear multi-secret sharing scheme for non-threshold access structure(student contribution)

  • Authors:
  • Shu-guang Dai;Chun-ming Tang;Yue-nai Chen

  • Affiliations:
  • Guangzhou University, Guangzhou, China;Guangzhou University & Chinese Academy of Science, Guangzhou & Beijing, China;Guangzhou University, Guangzhou, China

  • Venue:
  • Proceedings of the 4th international conference on Security of information and networks
  • Year:
  • 2011

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Abstract

A linear code is optimal if the length of code is the shortest among all linear codes which realize the given access structure. It is a difficult problem how to obtain the optimal linear code for any access structure. In this paper, we firstly construct the optimal linear codes for realizing any given non-threshold multi-access structures over finite field Fq. Then, based on our optimal linear code, we construct the optimal linear multi-secret sharing scheme for any non-threshold multi-access structure.