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Topological Quantum Computing
t-Frobenius Negacyclic Codes
arXiv
Authors: Priyabrata Bag, Santanu Dey
Year
2017
Paper ID
7607
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
Let mathbb{F}p denote the finite field of order p, where p is an odd prime. We study certain quantum negacyclic codes over mathbb{F}p which we call t-Frobenius negacyclic codes. We obtain a criterion for constructing such codes from certain subspaces of mathbb{F}pntimesmathbb{F}pn in terms of generating pairs of ideals of cyclotomic rings and we completely classify all linear t-Frobenius negacyclic codes. Further, the notion of BCH distance is extended for these codes and several new codes are identified.
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- This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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- Let mathbbFp denote the finite field of order p, where p is an odd prime.
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