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On the Stopping Redundancy of Reed–Muller Codes

✍ Scribed by Etzion, T.


Book ID
114640463
Publisher
IEEE
Year
2006
Tongue
English
Weight
306 KB
Volume
52
Category
Article
ISSN
0018-9448

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On the Reed-Muller codes
✍ E.F. Assmus Jr πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 632 KB

Assmus Jr, E.F., On the Reed-Muller codes, Discrete Mathematics 106/107 (1992) 25-33. We give a brief but complete account of all the essential facts concerning the Reed-Muller and punctured Reed-Muller codes. The treatment is new and includes an easy, direct proof of the fact that the punctured R

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✍ GΓ©rard D. Cohen; Simon N. Litsyn πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 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