Information on Result #639867
Linear OA(8162, 180, F8, 111) (dual of [180, 18, 112]-code), using concatenation of two codes based on
- linear OA(6427, 36, F64, 27) (dual of [36, 9, 28]-code or 36-arc in PG(26,64)), using
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- Reed–Solomon code RS(37,64) [i]
- discarding factors / shortening the dual code based on linear OA(6427, 64, F64, 27) (dual of [64, 37, 28]-code or 64-arc in PG(26,64)), using
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), 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(8161, 179, F8, 110) (dual of [179, 18, 111]-code) | [i] | Truncation | |
| 2 | Linear OA(8160, 178, F8, 109) (dual of [178, 18, 110]-code) | [i] | ||
| 3 | Linear OA(8159, 177, F8, 108) (dual of [177, 18, 109]-code) | [i] | ||
| 4 | Linear OA(8156, 174, F8, 105) (dual of [174, 18, 106]-code) | [i] | ||
| 5 | Linear OA(8155, 173, F8, 104) (dual of [173, 18, 105]-code) | [i] | ||
| 6 | Linear OA(8153, 171, F8, 102) (dual of [171, 18, 103]-code) | [i] | ||
| 7 | Linear OOA(8162, 90, F8, 2, 111) (dual of [(90, 2), 18, 112]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(8162, 60, F8, 3, 111) (dual of [(60, 3), 18, 112]-NRT-code) | [i] | ||