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On ℤ4-linear codes with the parameters of Reed-Muller codes

✍ Scribed by F. I. Solov’eva


Book ID
110179743
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
346 KB
Volume
43
Category
Article
ISSN
0032-9460

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📜 SIMILAR VOLUMES


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

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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

The parameters of projective Reed–Müller
✍ Gilles Lachaud 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 257 KB

Les codes de Reed-Miiller projectifs sur un corps fini sont des extensions des codes de Reed-Mtiller gCnCralisCs. Nouse donnons les paramttres de ces codes; leur distance minimale est obtenue en utilisant une borne de Serre. On montre qu'en un certain sens, leurs performances sont meilleures que cel