Distribution of Trace Values and Two-Weight, Self-orthogonal Codes over GF ( p , 2)

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 ax2 over the Galois field GF(p, 2). We then use this distribution to construct two-weight, self-orthogonal, trace codes. Key words: Trace map, self-orthogonal, non-binary, two-weight, Galois fields

• Type: Conference
• Year: 2007
• Where: AAECC
• Authors: N. Pinnawala, A. Rao, T. Aaron Gulliver
• Keywords: AAECC 2007, Algorithms, Galois Rings, Galois fields, Trace Map