CIS codes over ${\mathbb F}_4$

DOI10.11568/kjm.2020.28.2.285zbMath1446.94182OpenAlexW3038609287MaRDI QIDQ5118348

Hyun Jin Kim

Publication date: 8 September 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/944/537

zbMATH Keywords

equivalenceself-dual codescomplementary information set (CIS) codescorrelation-immune

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Uses Software

• Magma

Cites Work

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• Complementary information set codes over \(\mathrm{GF}(p)\)
• Classification of self-dual codes of length 36
• \(t\)-CIS codes over \(\mathrm{GF}(p)\) and orthogonal arrays
• The existence of a self-dual \([70 ,35 ,12\) code and formally self-dual codes.]
• Correlation-immune and resilient functions over a finite alphabet and their applications in cryptography
• The Magma algebra system. I: The user language
• Euclidean and Hermitian self-dual MDS codes over large finite fields.
• Three characterizations of non-binary correlation-immune and resilient functions
• Higher-Order CIS Codes
• A New Class of Codes for Boolean Masking of Cryptographic Computations
• Correlation-immunity of nonlinear combining functions for cryptographic applications (Corresp.)
• New extremal self-dual codes of lengths 36, 38, and 58

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