Let $ \mathbb{F}_{q} $ be a finite field with character $ p $ and $ p\neq{3},l\neq{3} $ be different odd primes. In this paper, we study constacyclic codes of length $ 6lp^s $ over finite field $ \mathbb{F}_{q} $. The generator polynomials of all constacyclic codes and their duals are obtained. Moreover, we give the characterization and enumeration of linear complementary dual (LCD) and self-dual constacyclic codes of length $ 6lp^s $ over $ \mathbb{F}_{q} $.

中文翻译：

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长度的重复根conconstcyclic码 \ begin {document} $ 6lp ^ s $ \ end {document}

假设$ \ mathbb {F} _ {q} $是一个有限域，其字符$ p $和$ p \ neq {3}，l \ neq {3} $是不同的奇质数。在本文中，我们研究了在有限域$ \ mathbb {F} _ {q} $上长度为$ 6lp ^ s $的约束循环码。获得所有稳态代码及其对偶的生成多项式。此外，我们给出了长度为$ 6lp ^ s $超过$ \ mathbb {F} _ {q} $的线性互补对偶（LCD）和自对偶稳态编码的表征和枚举。