Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583440 | Finite Fields and Their Applications | 2008 | 13 Pages |
Abstract
We study cyclic codes of length pk over GR(p2,m), or equivalently, ideals of the ring GR(p2,m)/〈upk−1〉. We derive a method of representing the ideals, and classify all ideals in the ring GR(p2,m)/〈upk−1〉. We also analyse the duals, and identify the self-dual ideals.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory