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Improving the Upper Bounds on the Covering Radii of Binary Reed–Muller Codes

✍ Scribed by Carlet, C.; Mesnager, S.


Book ID
114640566
Publisher
IEEE
Year
2007
Tongue
English
Weight
389 KB
Volume
53
Category
Article
ISSN
0018-9448

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On the covering radius of Reed-Muller co
✍ Gérard D. Cohen; Simon N. Litsyn 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 371 KB

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