Enhanced multisecret-sharing schemes using LCD codes and weighing orthogonal matrices

ÇALKAVUR S., Sole P.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, vol.71, no.4, pp.6181-6205, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: 4
  • Publication Date: 2025
  • Doi Number: 10.1007/s12190-025-02493-1
  • Journal Name: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.6181-6205
  • Keywords: LCD codes, Multisecret-sharing scheme, Weighing orthogonal matrices
  • Kocaeli University Affiliated: Yes

Abstract

A multisecret-sharing scheme is a method for distributing n randomly associated secrets s1, s2,..., sn among a set of attendants. Linear codes with complementary duals, LCD codes, form an important class of linear codes, while weighing orthogonal matrices play a significant role in cryptography. In this paper, we design novel multisecret-sharing schemes based on LCD codes derived from weighing orthogonal matrices. We analyze the access structures, coalition statistics, security aspects, and information-theoretic efficiency compared to existing multisecret-sharing methods.