Yazar "Sakalli, Muharrem Tolga" için listeleme
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Efficient methods to generate cryptographically significant binary diffusion layers
Akleylek, Sedat; Rijmen, Vincent; Sakalli, Muharrem Tolga; Ozturk, Emir (Inst Engineering Technology-Iet, 2017)In this study, the authors propose new methods using a divide-and-conquer strategy to generate n x n binary matrices ( for composite n) with a high/maximum branch number and the same Hamming weight in each row and column. ... -
Generalisation of Hadamard matrix to generate involutory MDS matrices for lightweight cryptography
Pehlivanoglu, Meltem Kurt; Sakalli, Muharrem Tolga; Akleylek, Sedat; Duru, Nevcihan; Rijmen, Vincent (Inst Engineering Technology-Iet, 2018)In this study, the authors generalise Hadamard matrix over F-2m and propose a new form of Hadamard matrix, which they call generalised Hadamard (GHadamard) matrix. Then, they focus on generating lightweight (involutory) ... -
Generating binary diffusion layers with maximum/high branch numbers and low search complexity
Akleylek, Sedat; Sakalli, Muharrem Tolga; Ozturk, Emir; Mesut, Andac Sahin; Tuncay, Gokhan (Wiley-Hindawi, 2016)In this paper, we propose a new method to generate n x n binary matrices (for n = k . 2(t) where k and t are positive integers) with a maximum/high of branch numbers and a minimum number of fixed points by using 2(t) x ... -
Generating MDS Matrices in Toeplitz Form by Using Generalised Hadamard Form
In this paper, hardware efficient diffusion layers are generated. Non-involutory and new 8x8 MDS matrices over GF(2(8)) with the best-known XOR counts are constructed by using a new matrix form, which is developed by ... -
A new matrix form to generate all 3 x 3 involutory MDS matrices over F-2(m)
Guzel, Gulsum Gozde; Sakalli, Muharrem Tolga; Akleylek, Sedat; Rijmen, Vincent; Cengellenmis, Yasemin (Elsevier Science Bv, 2019)In this paper, we propose a new matrix form to generate all 3 x 3 involutory and MDS matrices over F-2(m) and prove that the number of all 3 x 3 involutory and MDS matrices over F-2(m) is (2(m) - 1)(2) . (2(m) - 2) . (2(m) ... -
On the automorphisms and isomorphisms of MDS matrices and their efficient implementations
Sakalli, Muharrem Tolga; Akleylek, Sedat; Akkanat, Kemal; Rijmen, Vincent (Tubitak Scientific & Technical Research Council Turkey, 2020)In this paper, we explicitly define the automorphisms of MDS matrices over the same binary extension field. By extending this idea, we present the isomorphisms between MDS matrices over F-2m and MDS matrices over F-2mt, ... -
On the Construction of 20 x 20 and 24 x 24 Binary Matrices with Good Implementation Properties for Lightweight Block Ciphers and Hash Functions
Sakalli, Muharrem Tolga; Akleylek, Sedat; Aslan, Bora; Bulus, Ercan; Sakalli, Fatma Buyuksaracoglu (Hindawi Ltd, 2014)We present an algebraic construction based on state transform matrix (companion matrix) for n x n (where n + 2(k), k being a positive integer) binary matrices with high branch number and low number of fixed points. We also ...
