Quantum Codes from Constacyclic Codes over the Ring <i>F</i>_q[<i>u</i>₁,<i>u</i>₂]/〈<inline-formula> <mml:math id="mm6400000" display="block"> <mml:semantics> <mml:msubsup> <mml:mi>u</mml:mi> <mml:mo>1</mml:mo> <mml:mo>2</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula>-<i>u</i>₁,<inline-formula> <mml:math id="mm88800000" display="block"> <mml:semantics> <mml:msubsup> <mml:mi>u</mml:mi> <mml:mo>2</mml:mo> <mml:mo>2</mml:mo> </mml:msubsup> </mml:semantics> </mml:math> </inline-formula>-<i>u</i>₂,<i>u</i>₁<i>u</i>₂-<i>u</i>₂<i>u</i>₁〉

In this paper, we study the structural properties of <inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <mi>α</mi> <mo>+</mo> <msub> <mi>u</mi> <mn>1</mn> </msub> <mi>β</mi> <mo>+</mo> <msub> <mi>u</mi> <mn>2</mn> </msub> <mi>γ</mi> <mo>+</mo> <msub> <mi>u</mi> <mn>1</mn> </msub>...

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Detalhes bibliográficos

Principais autores:	Ahmad N. Alkenani, Mohammad Ashraf, Ghulam Mohammad
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2020-05-01
Colecção:	Mathematics
Assuntos:	cyclic code constacyclic code quantum codes negacyclic code Gray map
Acesso em linha:	https://www.mdpi.com/2227-7390/8/5/781
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