Construction of orthomorphic $\mathrm{MDS}$ matrices with primitive characteristic polynomial

DOI10.4213/mvk391zbMath1487.15039OpenAlexW4205240229MaRDI QIDQ5071490

O. C. Puente, Reynier Antonio de la Cruz Jiménez

Publication date: 21 April 2022

Published in: Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography] (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mvk398

zbMATH Keywords

companion matrixinvariant subspacesrecursive matrixFeistel networklinear orthomorphismMDS-matrix

Mathematics Subject Classification ID

Cryptography (94A60) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04)

Uses Software

• SageMath

Cites Work

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• Lightweight MDS serial-type matrices with minimal fixed XOR count
• A Deeper Understanding of the XOR Count Distribution in the Context of Lightweight Cryptography
• Direct Construction of Recursive MDS Diffusion Layers Using Shortened BCH Codes
• Linear Recurring Sequences
• Влияние приводимости линейного преобразования на выбор раундовых констант
• The permutation group insight on the diffusion property of linear mappings
• Факторструктуры преобразований
• Комбинаторная характеризация XL-слоев
• SOME METHODS FOR CONSTRUCTING MDS-MATRICES OVER FINITE FIELD
• On the distance from permutations to imprimitive groups for a fixed system of imprimitivity

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