Quantum AMDS negacyclic codes of length 2 p   s   over F  p   m    | Zendy

Hai Q. Dinh | Zendy; Bac T Nguyen | Zendy; Nui V Nguyen | Zendy; Hiep L Thi | Zendy; Woraphon Yamaka | Zendy

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Quantum AMDS negacyclic codes of length 2 p s over F p m

Author(s) -

Hai Q. Dinh,

Bac T Nguyen,

Nui V Nguyen,

Hiep L Thi,

Woraphon Yamaka

Publication year - 2025

Publication title -

ieee access

Language(s) - English

Resource type - Magazines

SCImago Journal Rank - 0.587

H-Index - 127

eISSN - 2169-3536

DOI - 10.1109/access.2025.3595428

Subject(s) - aerospace , bioengineering , communication, networking and broadcast technologies , components, circuits, devices and systems , computing and processing , engineered materials, dielectrics and plasmas , engineering profession , fields, waves and electromagnetics , general topics for engineers , geoscience , nuclear engineering , photonics and electrooptics , power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation

In this article, we investigate all almost maximum distance separable (briefly, AMDS) negacyclic codes of length 2 p s over the finite field F p m , where p is an odd prime. A necessary and sufficient condition for a code to be an AMDS and NMDS negacyclic code of length 2 p s over F p m is also provided. In addition, we construct quantum AMDS (qAMDS) codes using both the Calderbank-Shor-Steane (CSS) and Hermitian constructions. These newly constructed codes have different parameters compared to previous constructions. Moreover, our qAMDS codes are better than all known quantum error correction (QEC) codes.

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