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Quasi-symmetric designs, codes, quadrics, and hyperplane sections

✍ Scribed by Vladimir D. Tonchev


Book ID
105139474
Publisher
Springer
Year
1993
Tongue
English
Weight
697 KB
Volume
48
Category
Article
ISSN
0046-5755

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πŸ“œ SIMILAR VOLUMES


Binary codes and quasi-symmetric designs
✍ A.R. Calderbank; P. Frankl πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 263 KB

obtain a new for the of a -(u, A) design the block intersection st, sZ, . . , s, satisfy sr -sZ-. . . = s, = s(mod 2). This condition eliminates quasi-symmetric 2 -(20,10,18) and 2 -(60,30,58) designs. Quasi-symmetric 2 -(20,8,14) designs are eliminated by an ad hoc coding theoretic argument. A 2 -

Quasi-Symmetric Designs and Codes Meetin
✍ Gary McGuire πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 261 KB

We give a characterization of codes meeting the Grey Rankin bound. When the codes have even length, the existence of such codes is equivalent to the existence of certain quasi-symmetric designs. We also find the parameters of all linear codes meeting the Grey Rankin bound. ## 1997 Academic Press T