2 citations · 4 across the 5 of their papers we have counts for
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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…
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…
Full-Rank Perfect Codes over Finite Fields
Alexander M. Romanov
In this paper, we propose a construction of full-rank q-ary 1-perfect codes over finite fields. This construction is a generalization of the Etzion and Vardy construction of full-r…
On the admissible families of components of Hamming codes
Alexander M. Romanov
In this paper, we describe the properties of the -components of Hamming codes. We suggest constructions of the admissible families of components of Hamming codes. It is shown th…