Information on Result #638918
Linear OA(8113, 165, F8, 59) (dual of [165, 52, 60]-code), using concatenation of two codes based on
- linear OA(6429, 55, F64, 29) (dual of [55, 26, 30]-code or 55-arc in PG(28,64)), using
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), using
- Reed–Solomon code RS(35,64) [i]
- discarding factors / shortening the dual code based on linear OA(6429, 64, F64, 29) (dual of [64, 35, 30]-code or 64-arc in PG(28,64)), 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(8112, 164, F8, 58) (dual of [164, 52, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(8113, 82, F8, 2, 59) (dual of [(82, 2), 51, 60]-NRT-code) | [i] | OOA Folding | |