Improved Bounds for Permutation Arrays Under Chebyshev Distance
Permutation arrays under the Chebyshev metric have been considered for error correction in noisy channels. Let P(n,d) denote the maximum size of any array of permutations on n symbols with pairwise Chebyshev distance d. We give new techniques and improved upper and lower bounds on P(n,d), including a precise formula for P(n,2).
READ FULL TEXT