The punctured dodecacode is unique | Sciact - Система учета научной деятельности ИМ СО РАН

The punctured dodecacode is unique Научная публикация

Журнал

Mathematics and Education in Mathematics
ISSN: 1313-3330 , E-ISSN: 2815-4002

Вых. Данные

Год: 2026, Страницы: 393-404 Страниц : 12 DOI: 10.55630/mem.2026.55.393-404

Ключевые слова

dodecacode, additive code, trace Hermitian duality, uniformly packed code, completely regular code, Doob graph, strongly regular graph

Авторы

Grassl M. ¹ , Krotov D. ² , Sok L. ³ , Solé P. ⁴

Организации

1	International Centre for Theory of Quantum Technologies, University of Gdansk, Gdansk, Poland
2	Sobolev Institute of Mathematics Novosibirsk 630090, Russia
3	School of Physical and Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371, Singapore
4	I2M (Aix Marseille Univ, CNRS), Marseilles, France

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0011

The punctured dodecacode is an additive 4-ary code of length 11 and distance 5 which is uniformly packed. We show that any code with the same weight distribution is equivalent to it. This code is also shown to be nonlinear. We also establish the nonexistence of analogs of the dodecacode and the punctured dodecacode in Doob graphs. To that end, we classify two-weight codes of weights 6 and 8 in Doob graphs and 4-ary Hamming graphs of diameter 9 and the corresponding strongly regular graphs.

Grassl M. , Krotov D. , Sok L. , Solé P.
The punctured dodecacode is unique
Mathematics and Education in Mathematics. 2026. P.393-404. DOI: 10.55630/mem.2026.55.393-404 OpenAlex

Поступила в редакцию:	12 янв. 2026 г.
Опубликована online:	19 мая 2026 г.

≡ OpenAlex:

W7161587216