Non-existence of a ternary constant weight (16, 5, 15; 2048) diameter perfect code

Krotov, Denis S., Ostergard, Patric R. J. and Pottonen, Olli (2016) Non-existence of a ternary constant weight (16, 5, 15; 2048) diameter perfect code. Advances in Mathematics of Communications, 10 2: 393-399. doi:10.3934/amc.2016013


Author Krotov, Denis S.
Ostergard, Patric R. J.
Pottonen, Olli
Title Non-existence of a ternary constant weight (16, 5, 15; 2048) diameter perfect code
Journal name Advances in Mathematics of Communications   Check publisher's open access policy
ISSN 1930-5338
1930-5346
Publication date 2016-05-01
Year available 2016
Sub-type Article (original research)
DOI 10.3934/amc.2016013
Open Access Status Not Open Access
Volume 10
Issue 2
Start page 393
End page 399
Total pages 7
Place of publication Springfield, MO, United States
Publisher American Institute of Mathematical Sciences (A I M S Press)
Collection year 2017
Language eng
Formatted abstract
Ternary constant weight codes of length n = 2m, weight n – 1, cardinality 2n and distance 5 are known to exist for every m for which there exists an APN permutation of order 2m, 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
Keyword Constant weight code
Diameter perfect code
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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