Codes and designs—existence and uniqueness
✍ Scribed by Vera Pless
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 1020 KB
- Volume
- 92
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 -
We describe three applications of Magma to problems in the area of designs and the associated codes: • Steiner systems, Hadamard designs and symmetric designs arising from an oval in an even-order plane, leading in the classical case to bent functions and difference-set designs; • the Hermitian uni
## Abstract The article gives constructions of disjoint 5‐designs obtained from permutation groups and extremal self‐dual codes. Several new simple 5‐designs are found with parameters that were left open in the table of 5‐designs given in (G. B. Khosrovshahi and R. Laue, __t__‐Designs with __t__⩾3,