Journal of Jilin University Science Edition ›› 2021, Vol. 59 ›› Issue (3): 544-550.

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Two Classes of Entanglement-Assisted Quantum MDS Codes Constructed by Constacyclic Codes

WANG Weiwei, LI Jiantao   

  1. School of Mathematics, Liaoning University, Shenyang 110036, China
  • Received:2020-09-30 Online:2021-05-26 Published:2021-05-23

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Abstract: The number of entangled bits was determined by a decomposition of defining sets of constacyclic codes over finite fields Fq2. Two classes of the entanglement-assisted quantum maximum distance separable codes (entanglement-assisted quantum MDS codes for brevity) were constructed by using constacyclic codes.

Key words: constacyclic code, entanglement-assisted quantum MDS code, cyclotomic coset

CLC Number: 

  • O236.2
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