Information on Result #639681
Linear OA(8144, 172, F8, 89) (dual of [172, 28, 90]-code), using concatenation of two codes based on
- linear OA(6429, 43, F64, 29) (dual of [43, 14, 30]-code or 43-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(8144, 172, F8, 88) (dual of [172, 28, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8143, 171, F8, 88) (dual of [171, 28, 89]-code) | [i] | Truncation | |
| 3 | Linear OA(8142, 170, F8, 87) (dual of [170, 28, 88]-code) | [i] | ||
| 4 | Linear OA(8141, 169, F8, 86) (dual of [169, 28, 87]-code) | [i] | ||
| 5 | Linear OA(8139, 167, F8, 84) (dual of [167, 28, 85]-code) | [i] | ||
| 6 | Linear OOA(8144, 86, F8, 2, 89) (dual of [(86, 2), 28, 90]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8144, 57, F8, 3, 89) (dual of [(57, 3), 27, 90]-NRT-code) | [i] | ||