✦ LIBER ✦
On triple-sum-sets and two or three weights codes
✍ Scribed by Bernard Courteau; Jacques Wolfmann
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 669 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
We introduce and characterize triple-sum-sets which are a natural generalization of partial difference sets. The perfect 3-error-correcting Golay code and uniformly packed 2-errorcorrecting codes are then related to triple-sum-sets and a construction is used to obtain 'large' coset leaders of the first order Reed-Muller codes.