Information on Result #639909
Linear OA(8134, 144, F8, 99) (dual of [144, 10, 100]-code), using concatenation of two codes based on
- linear OA(6419, 24, F64, 19) (dual of [24, 5, 20]-code or 24-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- linear OA(84, 6, F8, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,8)), using
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
- Reed–Solomon code RS(4,8) [i]
- discarding factors / shortening the dual code based on linear OA(84, 8, F8, 4) (dual of [8, 4, 5]-code or 8-arc in PG(3,8)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8134, 144, F8, 98) (dual of [144, 10, 99]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8134, 144, F8, 97) (dual of [144, 10, 98]-code) | [i] | ||
| 3 | Linear OA(8134, 144, F8, 96) (dual of [144, 10, 97]-code) | [i] | ||
| 4 | Linear OA(8133, 143, F8, 98) (dual of [143, 10, 99]-code) | [i] | Truncation | |
| 5 | Linear OA(8132, 142, F8, 97) (dual of [142, 10, 98]-code) | [i] | ||
| 6 | Linear OA(8124, 134, F8, 89) (dual of [134, 10, 90]-code) | [i] | ||
| 7 | Linear OA(8121, 131, F8, 86) (dual of [131, 10, 87]-code) | [i] | ||
| 8 | Linear OOA(8134, 72, F8, 2, 99) (dual of [(72, 2), 10, 100]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8134, 48, F8, 3, 99) (dual of [(48, 3), 10, 100]-NRT-code) | [i] | ||