GL(m, 2) acting on R(r, m)/R(r โ 1, m)
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Xiang-dong Hou
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Article
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1996
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Elsevier Science
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English
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Let R(r,m) be the rth order Reed-Muller code of length 2", and let R(r,m)/R(r -1,m) be the set of all eosets of R(r-1,m) in R(r,m). The general linear group GL(m,2) acts on R(r,m)/R(r-1,m). We compute the numbers of the GL(m,2)-orbits of R(r,m)/R(r-1,m) for 6 ~< m ~< 11. This is done through a formu