Paper Info
Title
Non-existence of a ternary constant weight $(16, 5, 15; 2048)$ diameter perfect code.
Abstract
Ternary constant weight codes of length n = 2(m), weight n - 1, cardinality 2(n) and distance 5 are known to exist for every m for which there exists an APN permutation of order 2(m), that is, at least for all odd m >= 3 and for m = 6. We show the non-existence of such codes for m = 4 and prove that any codes with the parameters above are diameter perfect.
Year
DOI
Venue
2014
10.3934/amc.2016013
ADVANCES IN MATHEMATICS OF COMMUNICATIONS
Keywords
Field
DocType
Constant weight code,diameter perfect code
Discrete mathematics,Combinatorics,Constant-weight code,Existential quantification,Permutation,Cardinality,Ternary operation,Mathematics
Journal
Volume
Issue
ISSN
10
2
1930-5346
Citations 
PageRank 
References 
0
0.34
7
Authors
3
Name
Order
Citations
PageRank
Denis S. Krotov18626.47
Patric R. J. Östergård260970.61
Olli Pottonen3868.99