Information on Result #639680
Linear OA(8146, 176, F8, 89) (dual of [176, 30, 90]-code), using concatenation of two codes based on
- linear OA(6429, 44, F64, 29) (dual of [44, 15, 30]-code or 44-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- linear OA(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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(8146, 176, F8, 88) (dual of [176, 30, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8145, 175, F8, 88) (dual of [175, 30, 89]-code) | [i] | Truncation | |
| 3 | Linear OA(8143, 173, F8, 86) (dual of [173, 30, 87]-code) | [i] | ||
| 4 | Linear OOA(8146, 88, F8, 2, 89) (dual of [(88, 2), 30, 90]-NRT-code) | [i] | OOA Folding | |