Abstract: Let p1, p2, p3, p4 and be distinct primes. Let where at least two of βi's are nonzero positive integers. In this paper, the λ-mapping is used to obtain all the -cyclotomic cosets modulo m. Then, it is shown that it is easy to count these -cyclotomic cosets with the help of λ-mapping and we observed that the results obtained in [1-4, 6] and [7] on -cyclotomic cosets modulo m are the simple corollaries to the results obtained in the paper. |
Keywords and phrases: cyclotomic cosets, -mapping, cyclic codes.
Received: September 4, 2021; Accepted: November 1, 2021; Published: November 23, 2021
How to cite this article: Pinki Devi and Pankaj Kumar, -cyclotomic cosets modulo m, JP Journal of Algebra, Number Theory and Applications 53(1) (2022), 1-20. DOI: 10.17654/0972555522001
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
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