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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★ 2 cited
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…