Paper Info
Title
Classification of optimal (v, 4, 1) binary cyclically permutable constant-weight codes and cyclic 2-(v, 4, 1) designs with v ≤ 76
Abstract
We classify up to isomorphism optimal (v, 4, 1) binary cyclically permutable constantweight (CPCW) codes with v 驴 76 and cyclic 2-(73, 4, 1) and 2-(76, 4, 1) designs. There is a one-to-one correspondence between optimal (v, 4, 1) CPCW codes, optimal cyclic binary constant-weight codes with weight 4 and minimum distance 6, (v, 4; 驴(v 驴 1)/12驴) difference packings, and optimal (v, 4, 1) optical orthogonal codes. Therefore, the classification of CPCW codes holds for them too. Perfect (v, 4, 1) CPCWcodes are equivalent to (v, 4, 1) cyclic difference families, and thus (73, 4, 1) cyclic difference families are classified too.
Year
DOI
Venue
2011
10.1134/S0032946011030021
Probl. Inf. Transm.
Keywords
Field
DocType
minimum distance,difference packing,optimal cyclic binary constant-weight,optical orthogonal code,cyclic difference family,binary cyclically permutable constant-weight,cpcw code,one-to-one correspondence
Discrete mathematics,Combinatorics,Permutable prime,Information transmission,Isomorphism,Circulant matrix,Combinatorial design,Mathematics,Binary number,Steiner system
Journal
Volume
Issue
ISSN
47
3
1608-3253
Citations 
PageRank 
References 
2
0.38
13
Authors
2
Name
Order
Citations
PageRank
Tsonka Baicheva132.78
Svetlana Topalova2258.30