Accelerated Multisecret Sharing Scheme Using Fast Matrix Spectral Factorization

ÇALKAVUR S., Sole P., Ephremidze L.

ENTROPY, cilt.28, sa.4, 2026 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3390/e28040369
  • Dergi Adı: ENTROPY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH, Directory of Open Access Journals
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we propose a novel multisecret sharing (MSS) scheme that integrates a recently developed exponential-speedup matrix spectral factorization algorithm into the construction of paraunitary matrices over finite fields. By exploiting the block-matrix generalization of the Janashia-Lagvilava method, we significantly enhance the efficiency and scalability of the MSS scheme. The proposed method ensures perfect secrecy, collusion resistance, and efficient reconstruction, while enabling practical deployment in large-scale distributed systems such as secure cloud storage, IoT networks, and blockchain authentication. Security and performance analyses demonstrate the superiority of the new approach over existing MSS schemes.