20 citations · 100 across the 19 of their papers we have counts for
5 papers · 1 filter
Unicyclic Strong Permutations
Claude Gravel, Daniel Panario, David Thomson
In this paper, we study some properties of a certain kind of permutation over , where is a positive integer. The desired properties for are: (1) the…
A Neural Network Lattice Decoding Algorithm
Mohammad-Reza Sadeghi, Farzane Amirzade, Daniel Panario +1
Neural network decoding algorithms are recently introduced by Nachmani et al. to decode high-density parity-check (HDPC) codes. In contrast with iterative decoding algorithms such…
A new class of irreducible pentanomials for polynomial based multipliers in binary fields
Gustavo Banegas, Ricardo Custodio, Daniel Panario
We introduce a new class of irreducible pentanomials over of the form . Let and use to define the finite fiel…
A general construction of Ordered Orthogonal Arrays using LFSRs
Daniel Panario, Mark Saaltink, Brett Stevens +1
In \cite{Castoldi}, $q^t \by (q+1)t$ ordered orthogonal arrays (OOAs) of strength over the alphabet $\FF_q$ were constructed using linear feedback shift register sequences (LFS…
The Graph Structure of Chebyshev Polynomials over Finite Fields and Applications
Claudio Qureshi, Daniel Panario
We completely describe the functional graph associated to iterations of Chebyshev polynomials over finite fields. Then, we use our structural results to obtain estimates for the av…