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 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
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
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