1 citations · 1 across the 2 of their papers we have counts for
3 papers
cs.IT2021
On the number of -ary quasi-perfect codes with covering radius 2
Alexander M. Romanov
In this paper we present a family of -ary nonlinear quasi-perfect codes with covering radius 2. The codes have length and size where is a prim…
cs.DM2017★ 1 cited
A generalized concatenation construction for q-ary 1-perfect codes
Alexander M. Romanov
We consider perfect 1-error correcting codes over a finite field with elements (briefly -ary 1-perfect codes). In this paper, a generalized concatenation construction for $q…
cs.IT2017
On non-full-rank perfect codes over finite fields
Alexander M. Romanov
The paper deals with the perfect 1-error correcting codes over a finite field with elements (briefly -ary 1-perfect codes). We show that the orthogonal code to the -ary n…