Involutory-Multiple-Lightweight MDS Matrices based on Cauchy-type Matrices
نویسندگان
چکیده
منابع مشابه
On the Construction of Lightweight Circulant Involutory MDS Matrices
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 entries in the set of m ×m non-singular matrices over F2 directly, and the linear transformations we used to construct MDS matrices are not assumed pairwise commutative. With this method, it is shown...
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 MDS codes via Cauchy matrices
The special form of Cauchy matrices is used to obtain a tighter bound for the validity region of the MDS Conjecture and a new compact characterization of generalized Reed-Solomon codes. The latter is further used to obtain constructions and some nonexistence results of long [2k, k] double-circulant MDS codes. This work was presented in part at the IEEE International Symposium on Information The...
متن کاملLightweight MDS Generalized Circulant Matrices
In this article, we analyze the circulant structure of generalized circulant matrices to reduce the search space for finding lightweight MDS matrices. We first show that the implementation of circulant matrices can be serialized and can achieve similar area requirement and clock cycle performance as a serial-based implementation. By proving many new properties and equivalence classes for circul...
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 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: Advances in Mathematics of Communications
سال: 2020
ISSN: 1930-5338
DOI: 10.3934/amc.2020084