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arXiv · 0801.3987

New Constructions of Permutation Arrays

Lizhen Yang·Kefei Chen·Luo Yuan
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Abstract

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.

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Lizhen Yang, Kefei Chen, Luo Yuan. 2008-01-25. New Constructions of Permutation Arrays. https://arxiv.org/abs/0801.3987

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