Information on Result #639964
Linear OA(8138, 144, F8, 111) (dual of [144, 6, 112]-code), using concatenation of two codes based on
- linear OA(6415, 18, F64, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- Reed–Solomon code RS(49,64) [i]
- discarding factors / shortening the dual code based on linear OA(6415, 64, F64, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
- linear OA(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
- Reed–Solomon code RS(2,8) [i]
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(8138, 144, F8, 110) (dual of [144, 6, 111]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(8138, 48, F8, 3, 111) (dual of [(48, 3), 6, 112]-NRT-code) | [i] | OOA Folding | |