Information on Result #639605
Linear OA(898, 116, F8, 62) (dual of [116, 18, 63]-code), using concatenation of two codes based on
- linear OA(6420, 29, F64, 20) (dual of [29, 9, 21]-code or 29-arc in PG(19,64)), using
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- Reed–Solomon code RS(44,64) [i]
- discarding factors / shortening the dual code based on linear OA(6420, 64, F64, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
- linear OA(82, 4, F8, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,8)), using
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), using
- Reed–Solomon code RS(6,8) [i]
- discarding factors / shortening the dual code based on linear OA(82, 8, F8, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,8)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(898, 116, F8, 61) (dual of [116, 18, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(897, 115, F8, 61) (dual of [115, 18, 62]-code) | [i] | Truncation | |
| 3 | Linear OA(896, 114, F8, 60) (dual of [114, 18, 61]-code) | [i] | ||
| 4 | Linear OA(895, 113, F8, 59) (dual of [113, 18, 60]-code) | [i] | ||
| 5 | Linear OOA(898, 58, F8, 2, 62) (dual of [(58, 2), 18, 63]-NRT-code) | [i] | OOA Folding | |