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t-Frobenius Negacyclic codes
Journal
Journal of the Ramanujan Mathematical Society
ISSN
09701249
Date Issued
2022-03-01
Author(s)
Bag, Priyabrata
Dey, Santanu
Abstract
Let Fp denote the finite field of order p, where p is an odd prime. We study certain quantum negacyclic codes over Fp which we call t-Frobenius negacyclic codes. We obtain a criterion for constructing such codes from certain subspaces of Fn p × Fn p 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.
Volume
37