3 papers
cs.IT2023
Improving the dimension bound of Hermitian Lifted Codes
Austin Allen, Eric Pabón-Cancel, Fernando Piñero-González +1
In this article we improve the dimension and minimum distance bound of the the Hermitian Lifted Codes LRCs construction from López, Malmskog, Matthews, Piñero and Wooters (López et…
math.CO2020
The Expected Number of Distinct Consecutive Patterns in a Random Permutation
Austin Allen, Dylan Cruz Fonseca, Veronica Dobbs +6
Let be a uniformly chosen random permutation on . Using an analysis of the probability that two overlapping consecutive -permutations are order isomorphic, we show th…
math.GR2017
Order dividing bijective function from non-cyclic to cyclic groups of same finite order
Austin Allen, Ashley Chen, Jessica Ding +1
In this article we give an order-dividing bijective function between cyclic and non cyclic groups of finite order. In particular, we prove that there exists a bijective function fr…