Abstract
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.
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Pinnawala, N., Rao, A., Gulliver, T.A. (2007). Distribution of Trace Values and Two-Weight, Self-orthogonal Codes over GF(p,2). In: BoztaÅŸ, S., Lu, HF.(. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2007. Lecture Notes in Computer Science, vol 4851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77224-8_36
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DOI: https://doi.org/10.1007/978-3-540-77224-8_36
Publisher Name: Springer, Berlin, Heidelberg
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