𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some results on the covering radii of Reed-Muller codes

✍ Scribed by Hou, X.-D.

Book ID
114539689
Publisher
IEEE
Year
1993
Tongue
English
Weight
886 KB
Volume
39
Category
Article
ISSN
0018-9448

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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

Some inequalities about the covering rad
Some inequalities about the covering radius of Reed-Muller codes
✍ Xiang-Dong Hou πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 312 KB

Let R(r, m) be the rth order Reed-Muller code of length 2 '~, and let p(r, m) be its covering radius. We prove that if 2 \_< k -< m -r -1, then p(r + k, m + k) > #(r, m) + 2(k -1). We also prove that if m -r > 4, 2 < k < m -r -1, and R(r, m) has a coset with minimal weight pfr, m) which does not co