Information on Result #639665
Linear OA(8126, 144, F8, 83) (dual of [144, 18, 84]-code), using concatenation of two codes based on
- linear OA(6427, 36, F64, 27) (dual of [36, 9, 28]-code or 36-arc in PG(26,64)), using
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- Reed–Solomon code RS(37,64) [i]
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), 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(8126, 144, F8, 82) (dual of [144, 18, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8125, 143, F8, 82) (dual of [143, 18, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(8124, 142, F8, 81) (dual of [142, 18, 82]-code) | [i] | ||
| 4 | Linear OA(8123, 141, F8, 80) (dual of [141, 18, 81]-code) | [i] | ||
| 5 | Linear OA(8121, 139, F8, 78) (dual of [139, 18, 79]-code) | [i] | ||
| 6 | Linear OOA(8126, 72, F8, 2, 83) (dual of [(72, 2), 18, 84]-NRT-code) | [i] | OOA Folding | |