Luis Gerardo Mojica

collaborators

2 papers

cs.IT2018

Constructing Permutation Arrays using Partition and Extension

Sergey Bereg, Luis Gerardo Mojica, Linda Morales +1

We give new lower bounds for $M (n, d)$ , for various positive integers $n$ and $d$ with $n > d$ , where $M (n, d)$ is the largest number of permutations on $n$ symbols with pairwise Hammi…

math.CO2018

New Lower Bounds for Permutation Arrays Using Contraction

Sergey Bereg, Zevi Miller, Luis Gerardo Mojica +2

A permutation array $A$ is a set of permutations on a finite set $Ω$ , say of size $n$ . Given distinct permutations $π, σ \in Ω$ , we let $h d (π, σ) = ∣ {x \in Ω : π (x) \neq = σ (x)} ∣$ , c…