On Binary Self-Dual Codes of Length 62 with an Automorphism of Order 7
Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 223-228
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
We classify up to equivalence all optimal binary self-dual [62, 31, 12] codes having an
automorphism of order 7 with 8 independent cycles. Using a method for constructing
self-dual codes via an automorphism of odd prime order, we prove that there are exactly 8 inequivalent such codes. Three of the obtained codes have weight enumerator,
previously unknown to exist. *2000 Mathematics Subject Classification: 94B05.
Keywords:
Self-Dual Codes, Automorphisms, Optimal Codes
@incollection{MEM_2011_40_1_a22,
author = {Yankov, Nikolay},
title = {On {Binary} {Self-Dual} {Codes} of {Length} 62 with an {Automorphism} of {Order} 7},
booktitle = {},
series = {Mathematics and Education in Mathematics},
pages = {223--228},
year = {2011},
volume = {40},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a22/}
}
Yankov, Nikolay. On Binary Self-Dual Codes of Length 62 with an Automorphism of Order 7. Mathematics and Education in Mathematics, Tome 40 (2011) no. 1, pp. 223-228. http://geodesic.mathdoc.fr/item/MEM_2011_40_1_a22/