Two and three weight codes over \(\mathbb {F}_p+u\mathbb {F}_p\)
From MaRDI portal
Publication:520079
DOI10.1007/s12095-016-0206-5zbMath1409.94928OpenAlexW2604096566MaRDI QIDQ520079
Rongsheng Wu, Patrick Solé, Minjia Shi, Yan Liu
Publication date: 3 April 2017
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-016-0206-5
Linear codes (general theory) (94B05) Other character sums and Gauss sums (11T24) Cyclic codes (94B15) Authentication, digital signatures and secret sharing (94A62)
Related Items (45)
\(G\)-codes, self-dual \(G\)-codes and reversible \(G\)-codes over the ring \(\mathscr{B}_{j,k} \) ⋮ Secret sharing schemes based on the dual of Golay codes ⋮ Few-weight codes over a non-chain ring associated with simplicial complexes and their distance optimal gray image ⋮ A transform approach to polycyclic and serial codes over rings ⋮ Two classes of optimal \(p\)-ary few-weight codes from down-sets ⋮ Minimal linear codes from weakly regular bent functions ⋮ Weight distributions for projective binary linear codes from Weil sums ⋮ Application of optimal \(p\)-ary linear codes to alphabet-optimal locally repairable codes ⋮ New classes of binary few weight codes from trace codes over a chain ring ⋮ Three-weight minimal linear codes ⋮ Few-weight codes from trace codes over a local ring ⋮ Five classes of optimal two-weight linear codes ⋮ Linear codes over finite rings are trace codes ⋮ Two families of few-weight codes over a finite chain ring ⋮ Two-weight and three-weight codes from trace codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\) ⋮ Classification of type I codes over \({\mathbb{F}}_4+u{\mathbb{F}}_4\) ⋮ A family of cyclic codes with two zeros ⋮ On the structure of repeated-root polycyclic codes over local rings ⋮ On Hamming distance distributions of repeated-root constacyclic codes of length \(3p^s\) over \(\mathbb{F}_{p^m} + u \mathbb{F}_{p^m}\) ⋮ Three new constructions of optimal linear codes with few weights ⋮ Minimal linear codes from Maiorana-McFarland functions ⋮ Few-weight codes over \(\mathbb{F}_p + u \mathbb{F}_p\) associated with down sets and their distance optimal Gray image ⋮ Niederreiter-Rosenbloom-Tsfasman LCD codes ⋮ A unified construction of optimal and distance optimal two or three-weight codes ⋮ Five-weight codes from three-valued correlation of M-sequences ⋮ Two classes of optimal few-weight codes over \({\mathbb{F}}_q+u{\mathbb{F}}_q\) ⋮ Gaussian sums, hyper Eisenstein sums and Jacobi sums over a local ring and their applications ⋮ A new class of optimal linear codes with flexible parameters ⋮ Weight distributions of Q2DC codes over finite fields ⋮ Two infinite families of two-weight codes over \(\mathbb{Z}_{2^{m}}\) ⋮ \(n\)-dimensional quasi-cyclic codes over finite chain rings ⋮ Two families of two-weight codes over \(\mathbb{Z}_4\) ⋮ Several new classes of linear codes with few weights ⋮ A class of linear codes and their complete weight enumerators ⋮ A class of constacyclic codes and skew constacyclic codes over \(\mathbb{Z}_{2^s}+u\mathbb{Z}_{2^s}\) and their Gray images ⋮ On self-dual and LCD quasi-twisted codes of index two over a special chain ring ⋮ Weight distributions and weight hierarchies of a family of \(p\)-ary linear codes ⋮ New classes of \(p\)-ary few weight codes ⋮ Three-weight codes, triple sum sets, and strongly walk regular graphs ⋮ Enumeration of \({\mathbb{Z}}_4\)-double cyclic codes ⋮ Linear codes with eight weights over \(\mathbb{F}_p+u\mathbb{F}_p\) ⋮ Constacyclic codes over \(\mathbb{F}_{q^2}[u/\langle u^2-w^2 \rangle\) and their application in quantum code construction] ⋮ Construction of optimal codes from a class of constacyclic codes ⋮ Infinite families of optimal linear codes and their applications to distributed storage systems ⋮ Three-weight codes over rings and strongly walk regular graphs
Cites Work
- On triple-sum-sets and two or three weights codes
- Three-weight cyclic codes and their weight distributions
- Hamming weights in irreducible cyclic codes
- Euler products, cyclotomy, and coding
- Weights of linear codes and strongly regular normed spaces
- Secret sharing schemes from three classes of linear codes
- Minimal vectors in linear codes
- Cyclic codes and self-dual codes over F/sub 2/+uF/sub 2/
- Duadic codes over \(\mathbb{F}_2+u\mathbb{F}_2\)
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Two and three weight codes over \(\mathbb {F}_p+u\mathbb {F}_p\)