Let C be a binary linear self-dual doubly-even code of length n and minimal weight d. Such codes exist only if 12 = 0 (mod 8). We put II = 24r + 8s, s = 0, 1, 2. It follows from the work of Gleason [2] and of Mallows and Sloane [6] that d s 4r + 4. C is called extremal if d = 4r + 4. In the followin
โฆ LIBER โฆ
Self-dual doubly circulant codes
โ Scribed by M. Ventou; C. Rigoni
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 383 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
We present a complete classification of self-dual doubly circulant codes of any length over GF,, generalizing the results on orthogonal circulant matrices obtained by MacWilliams [S].
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