5 citations · 12 across the 5 of their papers we have counts for
5 papers
Isometry Groups of Combinatorial Codes
Serhii Dyshko
Two isometry groups of combinatorial codes are described: the group of automorphisms and the group of monomial automorphisms, which is the group of those automorphisms that extend…
Geometric approach to the MacWilliams Extension Theorem for codes over modules
Serhii Dyshko
The MacWilliams Extension Theorem states that each linear Hamming isometry of a linear code extends to a monomial map. In this paper an analogue of the extension theorem for linear…
MacWilliams Extension Theorem for MDS additive codes
Serhii Dyshko
The MacWilliams Extension Theorem states that each linear isometry of a linear code extends to a monomial map. Unlike the linear codes, in general, additive codes do not have the e…
Minimal nontrivial solutions of the isometry equation
Serhii Dyshko
In the paper there are described minimal nontrivial solutions of the isometry equation. This equation naturally appears in the coding theory in the study of additive code isometrie…
On extendibility of additive code isometries
Serhii Dyshko
For linear codes, the MacWilliams Extension Theorem states that each linear isometry of a linear code extends to a linear isometry of the whole space. But, in general, it is not th…