Constructing two-weight codes with prescribed groups of automorphisms
Discrete Applied Mathematics
Some high-rate linear codes over GF(5) and GF(7)
Problems of Information Transmission
Construction of Large Constant Dimension Codes with a Prescribed Minimum Distance
Mathematical Methods in Computer Science
Construction of binary and ternary self-orthogonal linear codes
Discrete Applied Mathematics
Efficiency analysis and derivation of enhanced deployment models for sensor networks
International Journal of Ad Hoc and Ubiquitous Computing
Hi-index | 754.84 |
New linear codes (sometimes optimal) over the finite field with q elements are constructed. In order to do this, an equivalence between the existence of a linear code with a prescribed minimum distance and the existence of a solution of a certain system of Diophantine linear equations is used. To reduce the size of the system of equations, the search for solutions is restricted to solutions with special symmetry given by matrix groups. This allows to find more than 400 new codes for the case q=2,3,4,5,7,9.