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Reed-Muller Codes on Complete Intersections

✍ Scribed by I. M. Duursma; C. Rentería; H. Tapia-Recillas

Publisher
Springer
Year
2001
Tongue
English
Weight
72 KB
Volume
11
Category
Article
ISSN
0938-1279

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📜 SIMILAR VOLUMES

On the Reed-Muller codes
On the Reed-Muller codes
✍ E.F. Assmus Jr 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 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

A note on Reed-Muller codes
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✍ Bal Kishan Dass; Sunil Kumar Muttoo 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 294 KB
On Trellis Structures for Reed–Muller Co
On Trellis Structures for Reed–Muller Codes
✍ Tim Blackmore; Graham H. Norton 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 254 KB

We study trellises of Reed}Muller codes from "rst 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

On the covering radius of Reed-Muller co
On the covering radius of Reed-Muller codes
✍ 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