Information on Result #639710
Linear OA(8144, 164, F8, 95) (dual of [164, 20, 96]-code), using concatenation of two codes based on
- linear OA(6431, 41, F64, 31) (dual of [41, 10, 32]-code or 41-arc in PG(30,64)), using
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), using
- Reed–Solomon code RS(33,64) [i]
- discarding factors / shortening the dual code based on linear OA(6431, 64, F64, 31) (dual of [64, 33, 32]-code or 64-arc in PG(30,64)), 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, 164, F8, 94) (dual of [164, 20, 95]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8143, 163, F8, 94) (dual of [163, 20, 95]-code) | [i] | Truncation | |
| 3 | Linear OA(8142, 162, F8, 93) (dual of [162, 20, 94]-code) | [i] | ||
| 4 | Linear OA(8141, 161, F8, 92) (dual of [161, 20, 93]-code) | [i] | ||
| 5 | Linear OA(8139, 159, F8, 90) (dual of [159, 20, 91]-code) | [i] | ||
| 6 | Linear OOA(8144, 82, F8, 2, 95) (dual of [(82, 2), 20, 96]-NRT-code) | [i] | OOA Folding | |