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Orphan structure of the first-order Reed-Muller codes

✍ Scribed by Richard A. Brualdi; Ning Cai; Vera S. Pless


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
563 KB
Volume
102
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


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We present lower and upper bounds on the covering radius of Reed-Muller codes, yielding asymptotical improvements on known results. The lower bound is simply the sphere covering one (not very new). The upper bound is derived from a thorough use of a lemma, the 'essence of Reed-Mullerity'. The idea

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1. The problem of structural conipleteness of a logical system is formulated as the qiicstion about derivability in this system of all permissible and structural rules (cf. [lo]).