Distribution of trace values and two-weight, self-orthogonal codes over GF (p,2)
N Pinnawala Ralalage, Asha Rao, Aaron Gulliver · Figshare · 2024
The uniform distribution of the trace map lends itself very well to the construction of binary and non-binary codes from Galois fields and Galois rings. In this paper we study the distribution of the trace map with the argument ax 2 over the Galois field GF(p,2). We then use this distribution to construct two-weight, self-orthogonal, trace codes.