Information on Result #639615
Linear OA(898, 112, F8, 65) (dual of [112, 14, 66]-code), using concatenation of two codes based on
- linear OA(6421, 28, F64, 21) (dual of [28, 7, 22]-code or 28-arc in PG(20,64)), using
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), using
- Reed–Solomon code RS(43,64) [i]
- discarding factors / shortening the dual code based on linear OA(6421, 64, F64, 21) (dual of [64, 43, 22]-code or 64-arc in PG(20,64)), 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, 112, F8, 64) (dual of [112, 14, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(897, 111, F8, 64) (dual of [111, 14, 65]-code) | [i] | Truncation | |
| 3 | Linear OA(896, 110, F8, 63) (dual of [110, 14, 64]-code) | [i] | ||
| 4 | Linear OA(895, 109, F8, 62) (dual of [109, 14, 63]-code) | [i] | ||
| 5 | Linear OA(893, 107, F8, 60) (dual of [107, 14, 61]-code) | [i] | ||
| 6 | Linear OOA(898, 56, F8, 2, 65) (dual of [(56, 2), 14, 66]-NRT-code) | [i] | OOA Folding | |