Enhanced multisecret-sharing schemes using LCD codes and weighing orthogonal matrices
Abstract A multisecret-sharing scheme is a method for distributing n randomly associated secrets s 1 , s 2 ,..., s n 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.
Authors
- Patrick Solé (ORCID: https://orcid.org/0000-0002-4078-8301)
- Selda Çalkavur (ORCID: https://orcid.org/0000-0002-1502-123X)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Aix-Marseille Université (FR)
- Centrale Méditerranée (FR)
- Institut Polytechnique de Bordeaux (FR)
- Kocaeli Üniversitesi (TR)
Publication Details
- Journal
- Journal of Applied Mathematics and Computing
- Published
- 2025-04-18
- DOI
- https://doi.org/10.1007/s12190-025-02493-1
- Primary Topic
- Coding theory and cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Türkiye Bilimsel ve Teknolojik Araştırma Kurumu