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Binary linear codes with at most 4 weights

Published 2 Feb 2016 in cs.IT and math.IT | (1602.00914v1)

Abstract: For the past decades, linear codes with few weights have been widely studied, since they have applications in space communications, data storage and cryptography. In this paper, a class of binary linear codes is constructed and their weight distribution is determined. Results show that they are at most 4-weight linear codes. Additionally, these codes can be used in secret sharing schemes.

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