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Showing 2020 · cs.ITShow all
3 papers · 2 filters
cs.IT2020★ 1 cited
The linear codes of t-designs held in the Reed-Muller and Simplex codes
Cunsheng Ding, Chunming Tang
A fascinating topic of combinatorics is -designs, which have a very long history. The incidence matrix of a -design generates a linear code over GF for any prime power $…
cs.IT2020★ 2 cited
A Novel Application of Boolean Functions with High Algebraic Immunity in Minimal Codes
Hang Chen, Cunsheng Ding, Sihem Mesnager +1
Boolean functions with high algebraic immunity are important cryptographic primitives in some stream ciphers. In this paper, two methodologies for constructing binary minimal codes…
cs.IT2020★ 4 cited
An infinite family of linear codes supporting 4-designs
Chunming Tang, Cunsheng Ding
The first linear code supporting a -design was the ternary Golay code discovered in 1949 by Golay. In the past 71 years, sporadic linear codes holding -designs o…