Paper Info
Title
On extending propelinear structures of the Nordstrom–Robinson code to the Hamming code
Abstract
A code is said to be propelinear if its automorphism group contains a subgroup which acts on the codewords regularly. Such a subgroup is called a propelinear structure on the code. With the aid of computer, we enumerate all propelinear structures on the Nordstrom–Robinson code and analyze the problem of extending them to propelinear structures on the extended Hamming code of length 16. The latter result is based on the description of partitions of the Hamming code of length 16 into Nordstrom–Robinson codes via Fano planes, presented in the paper. As a result, we obtain a record-breaking number of propelinear structures in the class of extended perfect codes of length 16.
Year
DOI
Venue
2015
10.1134/S0032946016030078
Problems of Information Transmission
DocType
Volume
Issue
Journal
52
3
ISSN
Citations 
PageRank 
1608-3253
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Ivan Yu. Mogilnykh1368.74