Thomas Westerbäck

Parity check systems of nonlinear codes over finite commutative Frobenius rings

2017 · Advances in Mathematics of Communications

The concept of parity check matrices of linear binary codes has been extended by Heden [10] to parity check systems of nonlinear binary codes. In the present paper we extend this concept to parity check …

Cyclic flats of binary matroids

2021 · Advances in Applied Mathematics

In this paper, first steps are taken towards characterizing rank-decorated lattices of cyclic flats Z(M) that belong to matroids M that can be represented over a prescribed finite field Fq. Two natural maps from Z(M) …