2023/04/24 by G Anitha, G, Anitha, P Vanchinathan +1
Computer Science · Engineering · #Coding theory and cryptography #Cooperative Communication and Network Coding #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.2304.12293
For a finite field of odd number of elements we construct families of permutation binomials and permutation trinomials with one fixed-point (namely zero) and remaining elements being permuted as disjoint cycles of same length. Binomials and trinomials providing permutations with cycles of many lengths with certain frequency are also constructed.