Qichun Wang

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20182024

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cs.IT2024

Determining the Weight Spectrum of the Reed--Muller Codes RM(m-6,m)

Yueying Lou, Qichun Wang

The weight spectra of the Reed-Muller codes $R M (r, m)$ were unknown for $r = 3, ..., m - 5$ . In IEEE Trans. Inform. Theory 2024, Carlet determined the weight spectrum of $R M (m - 5, m)$ for $…

cs.IT2018

The Covering Radius of the Reed--Muller Code $R M (2, 7)$ is 40

Qichun Wang

It was proved by J. Schatz that the covering radius of the second order Reed--Muller code $R M (2, 6)$ is 18 (IEEE Trans Inf Theory 27: 529--530, 1985). However, the covering radius…

Determining the Weight Spectrum of the Reed--Muller Codes RM(m-6,m)

The Covering Radius of the Reed--Muller Code RM(2,7) is 40

The Covering Radius of the Reed--Muller Code $R M (2, 7)$ is 40