The dimension of projective geometry codes
From MaRDI portal
Publication:1199590
DOI10.1016/0012-365X(92)90538-QzbMath0754.94016OpenAlexW1996231332MaRDI QIDQ1199590
J. W. P. Hirschfeld, Pier Vittorio Ceccherini
Publication date: 16 January 1993
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0012-365x(92)90538-q
Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20)
Related Items (5)
The linear codes of \(t\)-designs held in the Reed-Muller and simplex codes ⋮ On the classification of geometric codes by polynomial functions ⋮ Divisible arcs, divisible codes, and the extension problem for arcs and codes ⋮ Codes and pseudo-geometric designs from the ternary \(m\)-sequences with Welch-type decimation \(d = 2 \cdot 3^{(n -1)/2} + 1\) ⋮ Linear codes of 2-designs associated with subcodes of the ternary generalized Reed-Muller codes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
- Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code
- A characterization of the primals in \(PG(m,2)\)
- The \(GF(p)\)-dimension of the codes generated by the classical point-line geometries over \(GF(p)\)
- On Sets with Only Odd Secants in Geometries over GF(4)
- On the p-rank of the design matrix of a difference set
- On the p-rank of the incidence matrix of points and hyperplanes in a finite projective geometry
- On a class of majority-logic decodable cyclic codes
This page was built for publication: The dimension of projective geometry codes