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The construction and weight distributions of all projective binary linear codes

Published 6 Oct 2020 in cs.IT, math.CO, and math.IT | (2010.03184v2)

Abstract: Boolean functions can be used to construct binary linear codes in many ways, and vice versa. The objective of this short article is to point out a connection between the weight distributions of all projective binary linear codes and the Walsh spectra of all Boolean functions. New research problems are also proposed.

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