Constructing two-weight codes with prescribed groups of automorphisms
From MaRDI portal
Publication:997071
DOI10.1016/j.dam.2007.03.006zbMath1116.94016OpenAlexW2153311525MaRDI QIDQ997071
Publication date: 19 July 2007
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2007.03.006
Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50) Linear Diophantine equations (11D04)
Related Items
Non-existence of two types of partial difference sets ⋮ Implementing Brouwer's database of strongly regular graphs ⋮ Automorphisms of strongly regular graphs with applications to partial difference sets ⋮ On the non-existence of a projective (75, 4, 12, 5) set in PG(3, 7) ⋮ Properties of codes with two homogeneous weights ⋮ On strongly walk regular graphs, triple sum sets and their codes ⋮ On linear codes admitting large automorphism groups ⋮ On the existence of PD-sets: algorithms arising from automorphism groups of codes ⋮ Cyclotomy over products of finite fields and combinatorial applications ⋮ An Enumeration of Certain Projective Ternary Two-Weight Codes ⋮ The geometry of some two-character sets ⋮ Integral point sets over \(\mathbb Z_n^m\) ⋮ Search for combinatorial objects using lattice algorithms -- revisited
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projective two-weight codes with small parameters and their corresponding graphs
- t-designs on hypergraphs
- Applied finite group actions.
- Systematic construction of \(q\)-analogs of \(t\)-\((v,k,\lambda)\)-designs
- Some new cyclotomic strongly regular graphs
- Sets of type \((m,n)\) in the affine and projective planes of order nine
- Two new optimal ternary two-weight codes and strongly regular graphs
- A new two-weight code and strongly regular graph
- Construction of \((n, r)\)-arcs in \(PG(2, q)\)
- Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
- Weights of linear codes and strongly regular normed spaces
- Construction of Linear Codes With Large Minimum Distance
- Optimal Linear Codes From Matrix Groups
- The Geometry of Two-Weight Codes
- Some new results for ternary linear codes of dimension 5 and 6
- Two-weight codes, partial geometries and Steiner systems
This page was built for publication: Constructing two-weight codes with prescribed groups of automorphisms
