Information on Result #639596
Linear OA(896, 116, F8, 59) (dual of [116, 20, 60]-code), using concatenation of two codes based on
- linear OA(6419, 29, F64, 19) (dual of [29, 10, 20]-code or 29-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), 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(896, 116, F8, 58) (dual of [116, 20, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(895, 115, F8, 58) (dual of [115, 20, 59]-code) | [i] | Truncation | |
| 3 | Linear OA(893, 113, F8, 56) (dual of [113, 20, 57]-code) | [i] | ||
| 4 | Linear OOA(896, 58, F8, 2, 59) (dual of [(58, 2), 20, 60]-NRT-code) | [i] | OOA Folding | |