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Comments on “a note on Reed-Muller codes”

✍ Scribed by Manohar Lal Kaushik

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
96 KB
Volume
6
Category
Article
ISSN
0166-218X

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📜 SIMILAR VOLUMES

A note on Reed-Muller codes
A note on Reed-Muller codes
✍ Bal Kishan Dass; Sunil Kumar Muttoo 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 294 KB
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

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

On binary k-paving matroids and Reed-Mul
On binary k-paving matroids and Reed-Muller codes
✍ Sanjay Rajpal 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 487 KB

A matroid Jr' of rank r>.k is k-paving if all of its circuits have cardinality exceeding r-k. In this paper, we develop some basic results concerning k-paving matroids and their connections with codes. Also, we determine all binary 2-paving matroids. (~