We derive new estimates for the error term in the binomial approximation to the distance distribution of extended Goppa codes. This is an improvement on the earlier bounds by Vladuts and Skorobogatov, and Levy and Litsyn.
Bounds on the minimum distance of the duals of extended BCH codes over(mathbb{F}_p )
✍ Scribed by Françoise Levy-dit-Vehel
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 738 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0938-1279
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper derives the upper and lower bounds on the minimum distance of 4-ary circular trellis-coded modulation using a simplex signal constellation. The bounds are shown to be tight and reachable, and the code is shown to achieve simplex distance between parallel paths at each stage of the trellis
We derive new upper bounds on the covering radius of a binary linear code as a function of its dual distance and dual-distance width . These bounds improve on the Delorme -Sole ´ -Stokes bounds , and in a certain interval for binary linear codes they are also better than Tieta ¨ va ¨ inen's bound .