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## Designs, Codes and Cryptography OnlineFirst articles

05.05.2021

### Construction of lightweight involutory MDS matrices

In this paper, we propose an efficient method to find lightweight involutory MDS matrices. To obtain involutory matrices, we give a necessary and sufficient condition for judging the involutory MDS property and propose a search method. For the …

03.05.2021

### Construction of matrices from generalized Feistel structures

This paper investigates the construction of $${\text {MDS}}$$ MDS matrices with generalized Feistel structures ( $${\text {GFS}}$$ GFS ). The approach developed by this paper consists in deriving $${\text {MDS}}$$ MDS matrices from the product of …

30.04.2021

### Breaking LWC candidates: sESTATE and Elephant in quantum setting

The competition for lightweight cryptography (LWC) launched by the National Institute of Standards and Technology (NIST) is an ongoing project calling for the standardization of lightweight cryptographic algorithms. The Report on Lightweight …

25.04.2021

### The dual of an evaluation code

The aim of this work is to study the dual and the algebraic dual of an evaluation code using standard monomials and indicator functions. We show that the dual of an evaluation code is the evaluation code of the algebraic dual. We develop an …

18.04.2021 Open Access

### LIGA: a cryptosystem based on the hardness of rank-metric list and interleaved decoding

We propose the new rank-metric code-based cryptosystem LIGA which is based on the hardness of list decoding and interleaved decoding of Gabidulin codes. LIGA is an improved variant of the Faure–Loidreau (FL) system, which was broken in a …

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