Information on Result #639921
Linear OA(8148, 156, F8, 114) (dual of [156, 8, 115]-code), using concatenation of two codes based on
- linear OA(6422, 26, F64, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,64)), using
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), using
- Reed–Solomon code RS(42,64) [i]
- discarding factors / shortening the dual code based on linear OA(6422, 64, F64, 22) (dual of [64, 42, 23]-code or 64-arc in PG(21,64)), 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(8148, 156, F8, 113) (dual of [156, 8, 114]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8148, 156, F8, 112) (dual of [156, 8, 113]-code) | [i] | ||
| 3 | Linear OA(8148, 156, F8, 111) (dual of [156, 8, 112]-code) | [i] | ||
| 4 | Linear OA(8150, 159, F8, 114) (dual of [159, 9, 115]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(8148, 78, F8, 2, 114) (dual of [(78, 2), 8, 115]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8148, 52, F8, 3, 114) (dual of [(52, 3), 8, 115]-NRT-code) | [i] | ||