1 research outputs found
On the extention of propelinear structures of Nordstrom-Robinson code to Hamming code
A code is called propelinear if its automorphism group contains a subgroup
that acts regularly on its codewords, which is called a propelinear structure
on the code. In the paper a classification of the propelinear structures on the
Nordstrom-Robinson code is obtained and the question of extension of these
structures to propelinear structures of the Hamming code, that contains the
Nordstrom-Robinson code. The result partially relies on a representation of all
partitions of the Hamming code into codes with parameters of Nordstrom-Robinson
code via Fano planes which is given in the paper.Comment: The paper is in Russian. Submitted to Problems of Information
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