Journal of Applied Mathematics & Bioinformatics

Encryption Schemes based on Hadamard Matrices with Circulant Cores

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• Abstract

  In this paper, we propose two encryption schemes based on Hadamard matrices with one and two circulant cores, which are classes of combinatorial designs. A cryptanalysis of the proposed schemes against some popular attacks, brute force, plaintext attacks and ciphertext attacks is explored and our study shows that these attacks does not compromise the security of the system. Furthermore, we make use of the Kronecker product to strengthen our encryption schemes while maintaining the private key size in reasonable lengths.