Codes from $A_m$-invariant polynomials

Giacomo Micheli, Vincenzo Pallozzi Lavorante, Phillip Waitkevich

Let $q$ be a prime power. This paper provides a new class of linear codes that arises from the action of the alternating group on ${\mathbb{F}}_q[x_1,\dots ,x_m]$ combined with the ide…