%0 Journal Article
%T New Constructions of Permutation Arrays
%A Lizhen Yang
%A Kefei Chen
%A Luo Yuan
%J Mathematics
%D 2008
%I arXiv
%X A permutation array(permutation code, PA) of length $n$ and distance $d$, denoted by $(n,d)$ PA, is a set of permutations $C$ from some fixed set of $n$ elements such that the Hamming distance between distinct members $\mathbf{x},\mathbf{y}\in C$ is at least $d$. In this correspondence, we present two constructions of PA from fractional polynomials over finite field, and a construction of $(n,d)$ PA from permutation group with degree $n$ and minimal degree $d$. All these new constructions produces some new lower bounds for PA.
%U http://arxiv.org/abs/0801.3987v1