Intermediate Constacyclic Codes and Scalar-Residue Reed–Muller Layers

arXiv:2605.17022v1 Announce Type: new
Abstract: A 2024 paper of Sun, Ding and Wang introduced a second class of constacyclic codes over finite fields, denoted $C(q,m,r,ell)$, with length $(q^m-1)/r$, where $rmid(q-1)$ and the defining monomials have total $q$-ary degree congruent to $r-1$ modulo $r$. In the non-projective intermediate range $2