Expressing the minimum distance, weight distribution and covering radius of codes by means of the algebraic and numerical normal forms of their indicators
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Publication:6112180
DOI10.3934/amc.2022047OpenAlexW4285253015MaRDI QIDQ6112180
Publication date: 7 July 2023
Published in: Advances in Mathematics of Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/amc.2022047
covering radiuslinear codeweight distributionBoolean functionminimum distanceerror-correcting codealgebraic normal form
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Boolean functions (94D10)
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- A construction of binary linear codes from Boolean functions
- Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\)
- Bent vectorial functions and linear codes from o-polynomials
- On the nonlinearity of S-boxes and linear codes
- A new construction of highly nonlinear S-boxes
- Codes, bent functions and permutations suitable for DES-like cryptosystems
- A sequence construction of cyclic codes over finite fields
- Binary linear codes from vectorial Boolean functions and their weight distribution
- A class of low-rate nonlinear binary codes
- Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
- The weight distribution of a class of linear codes from perfect nonlinear functions
- The Algebraic Degree of Perfect Binary Codes
- Handling Vectorial Functions by Means of Their Graph Indicators
- Four fundamental parameters of a code and their combinatorial significance
- Bent Vectorial Functions, Codes and Designs
- Boolean Functions for Cryptography and Coding Theory
- Cyclic Codes from Some Monomials and Trinomials
- On Dedekind's Problem: The Number of Monotone Boolean Functions
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