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On symmetry group of Mollard code
For a pair of given binary perfect codes C and D of lengths t and m respectively, the Mollard construction outputs a perfect code M(C,D) of length tm + t +m, having subcodes C and D, that areExpand
A note on regular subgroups of the automorphism group of the linear Hadamard code
TLDR
This work considers the regular subgroups of the automorphism group of the linear Hadamard code and shows that the dihedral group D2r−1 is a regular subgroup of GA(r, 2) only when r = 3. Expand
On homogeneous nontransitive binary perfect code
Studying binary perfect codes we show the existence of homogeneous nontransitive codes. Thus, as far as perfect codes are concerned, the propelinear codes are strictly contained in transitive codes,Expand
MMS-type problems for Johnson scheme
In the current work we consider the minimization problems for the number of nonzero or negative values of vectors from the first and second eigenspaces of the Johnson scheme respectively. The topicExpand