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Efficient Encryption from Random Quasi-Cyclic Codes
Code-based Cryptography Public-Key Encryption Post-Quantum Cryptography
2017/1/3
We propose a framework for constructing efficient code-based encryption schemes from codes that do not hide any structure in their public matrix. The framework is in the spirit of the schemes first pr...
Direct construction of quasi-involutory recursive-like MDS matrices from $2$-cyclic codes
MDS matrices involutions cyclic codes
2016/12/7
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 ...
We investigate how the code automorphism group can be used to study such combinatorial object as codes. Consider GF(qn) as a vector over GF(q). For any k = 0, 1, 2, 3, ???, n. Which GF(qn) exactly one...
Public Key Cryptosystems Constructed Based on Random Pseudo Cyclic Codes, K(IX)SE(1)PKC, Realizing Coding Rate of Exactly 1.0
public-key cryptography / Public key cryptosystem Error-correcting code Code based PKC Multivariate PKC Gr鯾 ner bases PQC
2012/3/23
In this paper, we present a new class of public-key cryptosystems, K(IX)SE(1)PKC realizing the coding rate of exactly 1.0, based on random pseudo cyclic codes. We show that K(IX)SE(1)PKC is secure aga...