Recent results and problems on constructions of linear codes from cryptographic functions
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Publication:2040307
DOI10.1007/s12095-020-00435-1zbMath1469.94135OpenAlexW3022955236WikidataQ114849185 ScholiaQ114849185MaRDI QIDQ2040307
Publication date: 13 July 2021
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-020-00435-1
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05) Boolean functions (94D10)
Related Items (15)
Several classes of minimal binary linear codes violating the Ashikhmin-Barg bound ⋮ Secret sharing schemes based on the dual of Golay codes ⋮ Weight distributions for projective binary linear codes from Weil sums ⋮ A survey on \(p\)-ary and generalized bent functions ⋮ Minimal linear codes constructed from functions ⋮ Constructions of projective linear codes by the intersection and difference of sets ⋮ Constructions of linear codes with two or three weights from vectorial dual-bent functions ⋮ Construction of minimal linear codes with few weights from weakly regular plateaued functions ⋮ Several classes of linear codes with few weights over finite fields ⋮ Generalized Hamming weights of linear codes from cryptographic functions ⋮ Some shortened codes from linear codes constructed by defining sets ⋮ Codes and pseudo-geometric designs from the ternary \(m\)-sequences with Welch-type decimation \(d = 2 \cdot 3^{(n -1)/2} + 1\) ⋮ Further projective binary linear codes derived from two-to-one functions and their duals ⋮ Minimal linear codes from weakly regular plateaued balanced functions ⋮ Two-weight or three-weight binary linear codes from cyclotomic mappings
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