Three-weight ternary linear codes from a family of cyclic difference sets
From MaRDI portal
Publication:1791667
DOI10.1007/S10623-017-0454-1zbMath1397.94035OpenAlexW2785745790MaRDI QIDQ1791667
Publication date: 10 October 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-017-0454-1
Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Cyclic codes (94B15) Decoding (94B35) Coding theorems (Shannon theory) (94A24)
Related Items (10)
Constructions of projective linear codes by the intersection and difference of sets ⋮ Three new constructions of optimal linear codes with few weights ⋮ A family of distance-optimal minimal linear codes with flexible parameters ⋮ Projective binary linear codes from special Boolean functions ⋮ Cyclotomic trace codes ⋮ Two classes of binary cyclic codes and their weight distributions ⋮ Troika: a ternary cryptographic hash function ⋮ A family of projective two-weight linear codes ⋮ New linear codes with few weights derived from Kloosterman sums ⋮ A family of linear codes from constant dimension subspace codes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New cyclic difference sets with Singer parameters constructed from \(d\)-homogeneous functions
- Cross-correlations of quadratic form sequences in odd characteristic
- A coding theory construction of new systematic authentication codes
- New Three-Valued Walsh Transforms from Decimations of Helleseth-Gong Sequences
- A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
- Linear Codes From Some 2-Designs
- New Constructions of Quadratic Bent Functions in Polynomial Form
- Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
- New Cyclic Relative Difference Sets Constructed From<tex>$d$</tex>-Homogeneous Functions With Difference-Balanced Property
- A New Family of Nonbinary Sequences With Three-Level Correlation Property and Large Linear Span
- Fundamentals of Error-Correcting Codes
- New nonbinary sequences with ideal two-level autocorrelation
- A new family of ternary sequences with ideal two-level autocorrelation function
This page was built for publication: Three-weight ternary linear codes from a family of cyclic difference sets
