Information on Result #639737
Linear OA(8166, 200, F8, 101) (dual of [200, 34, 102]-code), using concatenation of two codes based on
- linear OA(6433, 50, F64, 33) (dual of [50, 17, 34]-code or 50-arc in PG(32,64)), using
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
- Reed–Solomon code RS(31,64) [i]
- discarding factors / shortening the dual code based on linear OA(6433, 64, F64, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8166, 200, F8, 100) (dual of [200, 34, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8165, 199, F8, 100) (dual of [199, 34, 101]-code) | [i] | Truncation | |
| 3 | Linear OA(8164, 198, F8, 99) (dual of [198, 34, 100]-code) | [i] | ||
| 4 | Linear OA(8163, 197, F8, 98) (dual of [197, 34, 99]-code) | [i] | ||
| 5 | Linear OOA(8166, 100, F8, 2, 101) (dual of [(100, 2), 34, 102]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8166, 66, F8, 3, 101) (dual of [(66, 3), 32, 102]-NRT-code) | [i] | ||