Information on Result #639262
Linear OA(8138, 174, F8, 81) (dual of [174, 36, 82]-code), using concatenation of two codes based on
- linear OA(6440, 58, F64, 40) (dual of [58, 18, 41]-code or 58-arc in PG(39,64)), using
- discarding factors / shortening the dual code based on linear OA(6440, 64, F64, 40) (dual of [64, 24, 41]-code or 64-arc in PG(39,64)), using
- Reed–Solomon code RS(24,64) [i]
- discarding factors / shortening the dual code based on linear OA(6440, 64, F64, 40) (dual of [64, 24, 41]-code or 64-arc in PG(39,64)), using
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8137, 173, F8, 80) (dual of [173, 36, 81]-code) | [i] | Truncation | |
| 2 | Linear OOA(8138, 87, F8, 2, 81) (dual of [(87, 2), 36, 82]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8138, 58, F8, 3, 81) (dual of [(58, 3), 36, 82]-NRT-code) | [i] | ||