On normalized generating sets for GQC codes over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>

Bae, Sunghan; Kang, Pyung-Lyun; Li, Chengju

doi:10.1016/j.ffa.2016.11.017

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Cited by 7 publications

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“…Further, we proved that Z 4 -double cyclic codes are asymptotically good [12]. Recently, Bae et al studied the explicit generator for GQC codes of arbitrary index over Z 2 in [3].…”

Section: Introductionmentioning

confidence: 66%

On generalized quasi-cyclic codes over $\mathbb{Z}_4$

Gao¹,

Meng²,

Fu³

2022

Preprint

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Based on good algebraic structures and practicabilities, generalized quasi-cyclic (GQC) codes play important role in coding theory. In this paper, we study some results on GQC codes over Z4 including the normalized generating set, the minimum generating set and the normalized generating set of their dual codes. As an application, new Z4-linear codes and good nonlinear binary codes are constructed from GQC codes over Z4.

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“…Further, we proved that Z 4 -double cyclic codes are asymptotically good [12]. Recently, Bae et al studied the explicit generator for GQC codes of arbitrary index over Z 2 in [3].…”

Section: Introductionmentioning

confidence: 66%