notesum.ai

Published at December 6

Ternary near-extremal self-dual codes of lengths $36$, $48$ and $60$

cs.IT

math.CO

math.IT

94B05

Released Date: December 6, 2024

Authors: Masaaki Harada¹

Aff.: ¹Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan

Arxiv: http://arxiv.org/pdf/2412.04795v1


Code	$\beta$	$r_{1},r_{2},r_{3}$
$C_{1}$	6	$r_{1}=(0,0,1,0,0,2,0,0,1,1,1,1,1,2,2,0,1,1)$ ,
		$r_{2}=(0,1,2,2,2,1,2,1,1,0,2,2,1,0,2,2,0,1)$ ,
		$r_{3}=(1,2,0,0,2,1,2,0,1,1,1,2,2,1,1,1,2,0)$
$C_{2}$	7	$r_{1}=(0,0,0,0,1,1,0,0,1,1,0,1,0,1,1,0,0,1)$ ,
		$r_{2}=(1,1,2,1,2,0,2,0,2,1,0,1,1,2,1,2,1,0)$ ,
		$r_{3}=(1,0,1,0,2,1,1,2,1,0,0,2,0,1,2,2,0,0)$
$C_{3}$	10	$r_{1}=(0,0,0,1,1,1,0,0,1,2,2,0,1,2,2,1,2,0)$ ,
		$r_{2}=(1,0,2,2,2,2,1,2,0,0,1,0,0,0,2,1,1,0)$ ,
		$r_{3}=(1,1,2,2,1,1,1,1,1,1,0,2,1,1,1,0,0,0)$
$C_{4}$	91	$r_{1}=(0,0,1,0,1,1,0,0,1,2,0,1,0,1,0,0,2,0)$ ,
		$r_{2}=(0,1,2,2,2,2,1,1,0,1,0,1,2,1,2,2,1,0)$ ,
		$r_{3}=(1,1,2,2,1,1,1,1,2,0,0,2,2,1,2,2,0,0)$