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arXiv · 1412.3007

On symmetry group of Mollard code

I. Yu. Mogilnykh·F. I. Soloveva
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Abstract

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 C1 and D2, that are obtained from codewords of C and D respectively by adding appropriate number of zeros. In this work we generalize of a result for symmetry groups of Vasilev codes [2] and find the group Stab_{D2}Sym(M(C,D)). The result is preceded by and partially based on a discussion of linearity of coordinate positions (points) in a nonlinear perfect code (non-projective Steiner triple system respectively).

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I. Yu. Mogilnykh, F. I. Soloveva. 2014-12-09. On symmetry group of Mollard code. https://arxiv.org/abs/1412.3007

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