Cyclic decomposition of permutations of finite fields obtained using monomials

IM Rubio, CJ Corrada-Bravo - International Conference on Finite Fields …, 2003 - Springer
In this paper we study permutations of finite fields F q that decompose as products of cycles
of the same length, and are obtained using monomials x^i∈F_qx. We give the necessary …

The Gray Map on GR(p2, n) and Repeated-Root Cyclic Codes

H Tapia-Recillas - International Conference on Finite Fields and …, 2003 - Springer
It is shown that the Gray map on Z^n_p^2, where p is a prime and na positive integer, yields
the same result as an appropriate extension of the well-known “(u| u+ v)-construction”. It is …