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Bora Aslan and Muharrem Tolga Sakallı Algebraic construction of cryptographically good binary linear transformations Security and Communication Networks 7

Article first published online: 9 MAY 2012 | DOI: 10.1002/sec.556

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In this paper, we propose a new algebraic construction method to generate 8 × 8 and 16 × 16 involutory and non-involutory binary matrices of maximum branch numbers 5 and 8, respectively, which can be used as diffusion layers for block ciphers. By using this construction method, we also show some examples of these constructed matrices.

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