Non-existence of a ternary constant weight (16,5,15;2048) diameter perfect code | Sciact - Система учета научной деятельности ИМ СО РАН

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

Журнал

Advances in Mathematics of Communications
ISSN: 1930-5346 , E-ISSN: 1930-5338

Вых. Данные

Год: 2016, Том: 10, Номер: 2, Страницы: 393-399 Страниц : 7 DOI: 10.3934/amc.2016013

Ключевые слова

diameter perfect code., Constant weight code

Авторы

Krotov D. ^1,2 , Östergård P.R.J. ³ , Pottonen O. ⁴

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University, Novosibirsk, Russia
3	Department of Communications and Networking, School of Electrical Engineering, Aalto University, P.O. Box 13000, 00076 Aalto, Finland
4	School of Mathematics and Physics, The University of Queensland, Brisbane, Australia

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 $m \geq 3$ 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.

Krotov D. , Östergård P.R.J. , Pottonen O.
Non-existence of a ternary constant weight (16,5,15;2048) diameter perfect code
Advances in Mathematics of Communications. 2016. V.10. N2. P.393-399. DOI: 10.3934/amc.2016013 WOS Scopus РИНЦ OpenAlex

Поступила в редакцию:	31 авг. 2014 г.
Опубликована в печати:	1 мая 2016 г.

Web of science:	WOS:000377602300013
Scopus:	2-s2.0-84964786809
РИНЦ:	27151577
OpenAlex:	W3098064218

БД	Цитирований
Web of science	2
Scopus	3
OpenAlex	1