Construction methods for mds matrices using companion and permutation matrices for lightweight cryptography
نویسندگان
چکیده
منابع مشابه
On Constructions of MDS Matrices from Companion Matrices for Lightweight Cryptography
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 find MDS matrices which could be used in lightweight cryptography. In a crypto 2011 paper, Guo et. al. proposed a new MDS matrix Serial(1, 2, 1, 4) over F28 . This representation has a compact hardwar...
متن کاملLightweight 4x4 MDS Matrices for Hardware-Oriented Cryptographic Primitives
Linear diffusion layer is an important part of lightweight block ciphers and hash functions. This paper presents an efficient class of lightweight 4x4 MDS matrices such that the implementation cost of them and their corresponding inverses are equal. The main target of the paper is hardware oriented cryptographic primitives and the implementation cost is measured in terms of the required number ...
متن کاملLightweight MDS Involution Matrices
In this article, we provide new methods to look for lightweight MDS matrices, and in particular involutory ones. By proving many new properties and equivalence classes for various MDS matrices constructions such as circulant, Hadamard, Cauchy and Hadamard-Cauchy, we exhibit new search algorithms that greatly reduce the search space and make lightweight MDS matrices of rather high dimension poss...
متن کاملOn Constructions of MDS Matrices From Circulant-Like Matrices For Lightweight Cryptography
Maximum distance separable (MDS) matrices have applications not only in coding theory but are also of great importance in the design of block ciphers and hash functions. It is highly nontrivial to find MDS matrices which could be used in lightweight cryptography. In a SAC 2004 paper, Junod et. al. constructed a new class of efficient MDS matrices whose submatrices were circulant matrices and th...
متن کاملConstruction and Filtration of Lightweight Formalized MDS Matrices
Zhang Shi-Yi, Wang Yong-juan, Gao Yang, Wang Tao Corresponding author: Wang Yong-juan, E-mail: [email protected] Abstract: The 4 4 MDS matrix over 2 F 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 a MDS matrix usually plays the role of measure. During the research on t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Prikladnaya diskretnaya matematika. Prilozhenie
سال: 2019
ISSN: 2226-308X
DOI: 10.17223/2226308x/12/59