Information on Result #639913
Linear OA(8140, 150, F8, 104) (dual of [150, 10, 105]-code), using concatenation of two codes based on
- linear OA(6420, 25, F64, 20) (dual of [25, 5, 21]-code or 25-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), 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(8139, 149, F8, 103) (dual of [149, 10, 104]-code) | [i] | Truncation | |
| 2 | Linear OA(8138, 148, F8, 102) (dual of [148, 10, 103]-code) | [i] | ||
| 3 | Linear OA(8137, 147, F8, 101) (dual of [147, 10, 102]-code) | [i] | ||
| 4 | Linear OA(8136, 146, F8, 100) (dual of [146, 10, 101]-code) | [i] | ||
| 5 | Linear OA(8133, 143, F8, 97) (dual of [143, 10, 98]-code) | [i] | ||
| 6 | Linear OA(8132, 142, F8, 96) (dual of [142, 10, 97]-code) | [i] | ||
| 7 | Linear OA(8124, 134, F8, 88) (dual of [134, 10, 89]-code) | [i] | ||
| 8 | Linear OOA(8140, 75, F8, 2, 104) (dual of [(75, 2), 10, 105]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(8140, 50, F8, 3, 104) (dual of [(50, 3), 10, 105]-NRT-code) | [i] | ||