Information on Result #639583
Linear OA(886, 104, F8, 53) (dual of [104, 18, 54]-code), using concatenation of two codes based on
- linear OA(6417, 26, F64, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,64)), using
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), using
- Reed–Solomon code RS(47,64) [i]
- discarding factors / shortening the dual code based on linear OA(6417, 64, F64, 17) (dual of [64, 47, 18]-code or 64-arc in PG(16,64)), 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(886, 104, F8, 52) (dual of [104, 18, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(885, 103, F8, 52) (dual of [103, 18, 53]-code) | [i] | Truncation | |
| 3 | Linear OA(883, 101, F8, 50) (dual of [101, 18, 51]-code) | [i] | ||
| 4 | Linear OOA(886, 52, F8, 2, 53) (dual of [(52, 2), 18, 54]-NRT-code) | [i] | OOA Folding | |