๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Nonexistence of extremal doubly even self-dual codes with large length

โœ Scribed by Xinrong Ma


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
316 KB
Volume
185
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On self-dual doubly-even extremal codes
โœ Helmut Koch ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 488 KB

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

Extremal doubly-even codes of length 64
โœ S.N. Kapralov; V.D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 331 KB

Any symmetric 2-(31, 10,3) design gives rise to a binary self-dual doubly-even code of length 64, and the code is extremal if and only if the design does not possess any ovals [15]. Codes derived from the known symmetric 2-(31,10,3) designs without ovals and their automorphism groups are investigate

A class of doubly even self dual binary
โœ Jacques Wolfmann ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 268 KB

We give a construction of an infinite class of doubly even self dual binary codes including a code of length 112. (The study of such a code is closely related to the existence problem of a projective plane of order ten.)

New extremal doubly-even codes of length
โœ F.C. Bussemaker; V.D. Tonchev ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 404 KB

by J.H. van Lint Four new doubly-even (56, 28, 12) codes are constructed from Hadamard matrices of order 28. We assume that the reader is familiar with the basic facts from the theory of self-dual codes and designs. Our terminology and notation follow [3, lo]. The following theorem provides a meth