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MDS matrices are important building blocks providing diffusion functionality for the design of many symmetric-key primitives. In recent years, continuous efforts are made on the construction of MDS ma...
This paper investigates the construction of lightweight MDS matrices with generalized Feistel structures (GFS). The approach developed by this paper consists in deriving MDS matrices from the product ...
Shorter Linear Straight-Line Programs for MDS Matrices     XOR Count  MDS  Linear Layer       font style='font-size:12px;'> 2017/11/28
Recently a lot of attention is paid to the search for efficiently implementable MDS matrices for lightweight symmetric primitives. Previous work concentrated on locally optimizing the multiplication w...
The 4x4 MDS matrix over F2 is widely used in the design of block cipher's linear diffusion layers. However, considering the cost of a lightweight cipher's implementation, the sum of XOR operations of ...
Analysis of Toeplitz MDS Matrices     Toeplitz matrix  MDS matrix  XOR count       font style='font-size:12px;'> 2017/5/2
This work considers the problem of constructing efficient MDS matrices over the field \F2m\F2m. Efficiency is measured by the metric XOR count which was introduced by Khoo et al. in CHES 2014. Recentl...
In present paper, we mainly investigate the problem of efficiently constructing lightweight orthogonal MDS matrices over the matrix polynomial residue ring. Surprisingly, this problem did not receive ...
Near-MDS matrices provide better trade-offs between security and efficiency compared to constructions based on MDS matrices, which are favored for hardware-oriented designs. We present new designs of ...
In this article, we investigate the construction of lightweight MDS matrices. The key contribution of present paper is constructing MDS matrices over matrix polynomial residue ring. To the best of our...
On the Construction of the lightest Circulant MDS Matrices     MDS matrix  circulant matrix  XOR operation       font style='font-size:12px;'> 2016/12/12
4x4 MDS matrices with few XORs have a wide range of applications in plenty of mainstream lightweight ciphers. For 4x4 circulant MDS matrices over GL(4; F2), they have at least 12 XOR operations. In t...
A good linear diffusion layer is a prerequisite in the design of block ciphers. Usually it is obtained by combining matrices with optimal diffusion property over the Sbox alphabet. These matrices are ...
The Lightest 4x4 MDS Matrices over GL(4, F2)     MDS matrix  lightweight       font style='font-size:12px;'> 2016/7/13
MDS matrices are important parts for block ciphers. We searched the 4×44×4 MDS matrices over GL(4, F2F2), and found the lightest MDS matrices only have 10 XOR operations. Besides, all these lightest M...
We introduce and analyse a family of Almost MDS matrices defined over a ring with zero divisors that allows us to encode rotations in its operation while maintaining the minimal latency associated to ...
On the Construction of Lightweight Circulant Involutory MDS Matrices     secret-key cryptography  MDS       font style='font-size:12px;'> 2016/4/26
In the present paper, we investigate the problem of constructing MDS matrices with as few bit XOR operations as possible. The key contribution of the present paper is constructing MDS matrices with en...
In this paper we consider the fundamental question of optimizing finite field multiplications with one fixed element. Surprisingly, this question did not receive much attention previously. We invest...
Maximum distance separable (MDS) matrices have applications not only in coding theory but also are of great importance in the design of block ciphers and hash functions. It is highly nontrivial to fin...

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