Optimal quinary cyclic codes with minimum distance four
Abstract
In this paper, by analyzing solutions of certain equations in the finite field F5m, three classes of new optimal quinary cyclic codes with parameters [5m-1,5m-2m-2,4] and two theorems are presented. With the help of the two theorems, perfect nonlinear monomials, almost perfect nonlinear monomials and a number of other monomials are used to construct more classes of new optimal quinary cyclic codes with the same parameters.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.