✦ LIBER ✦
Maximal Arcs in Projective Three-Spaces and Double-Error-Correcting Cyclic Codes
✍ Scribed by Henk D.L. Hollmann; Qing Xiang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 98 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
Using maximal arcs in PG(3, 2 m ), we give a new proof of the fact that the binary cyclic code C (m) 1, 2 2h &2 h +1 , the code of length 2 m &1 with defining zeroes : and : t , t=2 2h &2 h +1, where : is a primitive element in GF(2 m ), is 2-error-correcting when gcd(m, h)=1.