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- W1987484145 abstract "We study trellises of Reed–Muller codes from first principles. Our approach to local trellis behaviour seems to be new and yields amongst other things another proof of a result of Berger and Be'ery on the state complexity of Reed–Muller codes. We give a general form of a minimal-span generator matrix for the family of Reed–Muller codes with their standard bit-order. We apply this to determining the number of parallel subtrellises in any uniform sectionalisation of a Reed–Muller code and to designing trellises for Reed–Muller codes with more parallel subtrellises than the minimal trellis, but with the same state complexity." @default.
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- W1987484145 date "2000-01-01" @default.
- W1987484145 modified "2023-09-26" @default.
- W1987484145 title "On Trellis Structures for Reed–Muller Codes" @default.
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- W1987484145 doi "https://doi.org/10.1006/ffta.1999.0265" @default.
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