Construction of MDS matrices from minors of an MDS matrix

被引：0

作者：

Rishakani, A. Mahmoodi ^{[1
]}

Dabanloo, Y. Fekri ^{[1
]}

Dehnavi, S. M. ^{[2
]}

Maimani, Hamidreza ^{[1
]}

机构：

[1] Shahid Rajaee Teacher Training Univ, Dept Sci, Tehran, Iran

[2] Kharazmi Univ, Fac Math & Comp Sci, Tehran, Iran

来源：

2015 12TH INTERNATIONAL IRANIAN SOCIETY OF CRYPTOLOGY CONFERENCE ON INFORMATION SECURITY AND CRYPTOLOGY (ISCISC) | 2015年

关键词：

diffusion layer; MDS matrix; commutative ring module; minor;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Diffusion layers are an important part of most symmetric ciphers and MDS matrices can be used to construct perfect diffusion layers. However, there are few techniques for constructing these matrices with low implementation cost in software/hardware. Conventional MDS matrices are constructed on finite fields and MDS matrices over commutative rings acting on modules have been characterized by Dong Dong et. al. in 1998. In this paper, we consider MDS matrices over commutative rings acting on corresponding modules and using the minors of such matrices, we construct new MDS diffusion layers.

引用

页码：48 / 51

页数：4

共 50 条

[1] CONSTRUCTION OF ALL MDS AND INVOLUTORY MDS MATRICES
Kumar, Yogesh
Mishra, Prasanna Raghaw
Samanta, Susanta
Gupta, Kishan Chand
Gaur, Atul
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025, 19 (03) : 922 - 941
[2] ON CONSTRUCTION OF LIGHTWEIGHT MDS MATRICES
Wang, Shi
Chen, Yuan
Li, Yunqing
Zeng, Xiangyong
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2022, 16 (04) : 1023 - 1049
[3] On the circulant matrix MDS testing and the search for circulant MDS matrices
Malakhov, Stanislav S.
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2024, : 87 - 119
[4] THE CONSTRUCTION OF CIRCULANT MATRICES RELATED TO MDS MATRICES
Malakhov, S. S.
Rozhkov, M., I
PRIKLADNAYA DISKRETNAYA MATEMATIKA, 2022, (56): : 17 - 27
[5] Construction of MDS matrices from generalized Feistel structures
Sajadieh, Mahdi
Mousavi, Mohsen
DESIGNS CODES AND CRYPTOGRAPHY, 2021, 89 (07) : 1433 - 1452
[6] On the direct construction of recursive MDS matrices
Gupta, Kishan Chand
Pandey, Sumit Kumar
Venkateswarlu, Ayineedi
DESIGNS CODES AND CRYPTOGRAPHY, 2017, 82 (1-2) : 77 - 94
[7] A New Construction of Lightweight MDS Matrices
Yin, Dapeng
Gao, Ying
PROCEEDINGS OF 2017 3RD IEEE INTERNATIONAL CONFERENCE ON COMPUTER AND COMMUNICATIONS (ICCC), 2017, : 2560 - 2563
[8] On the direct construction of recursive MDS matrices
Kishan Chand Gupta
Sumit Kumar Pandey
Ayineedi Venkateswarlu
Designs, Codes and Cryptography, 2017, 82 : 77 - 94
[9] Construction of lightweight involutory MDS matrices
Yumeng Yang
Xiangyong Zeng
Shi Wang
Designs, Codes and Cryptography, 2021, 89 : 1453 - 1483
[10] On the construction of near-MDS matrices
Kishan Chand Gupta
Sumit Kumar Pandey
Susanta Samanta
Cryptography and Communications, 2024, 16 : 249 - 283

← 1 2 3 4 5 →