Information on Result #638920
Linear OA(8111, 159, F8, 59) (dual of [159, 48, 60]-code), using concatenation of two codes based on
- linear OA(6429, 53, F64, 29) (dual of [53, 24, 30]-code or 53-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(8110, 158, F8, 58) (dual of [158, 48, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(8111, 79, F8, 2, 59) (dual of [(79, 2), 47, 60]-NRT-code) | [i] | OOA Folding | |