Information on Result #639771
Linear OA(8160, 180, F8, 107) (dual of [180, 20, 108]-code), using concatenation of two codes based on
- linear OA(6435, 45, F64, 35) (dual of [45, 10, 36]-code or 45-arc in PG(34,64)), using
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), using
- Reed–Solomon code RS(29,64) [i]
- discarding factors / shortening the dual code based on linear OA(6435, 64, F64, 35) (dual of [64, 29, 36]-code or 64-arc in PG(34,64)), 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(8160, 180, F8, 106) (dual of [180, 20, 107]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8159, 179, F8, 106) (dual of [179, 20, 107]-code) | [i] | Truncation | |
| 3 | Linear OA(8158, 178, F8, 105) (dual of [178, 20, 106]-code) | [i] | ||
| 4 | Linear OA(8157, 177, F8, 104) (dual of [177, 20, 105]-code) | [i] | ||
| 5 | Linear OA(8155, 175, F8, 102) (dual of [175, 20, 103]-code) | [i] | ||
| 6 | Linear OOA(8160, 90, F8, 2, 107) (dual of [(90, 2), 20, 108]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(8160, 60, F8, 3, 107) (dual of [(60, 3), 20, 108]-NRT-code) | [i] | ||