Information on Result #639825
Linear OA(8111, 125, F8, 75) (dual of [125, 14, 76]-code), using concatenation of two codes based on
- linear OA(6418, 25, F64, 18) (dual of [25, 7, 19]-code or 25-arc in PG(17,64)), using
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
- Reed–Solomon code RS(46,64) [i]
- discarding factors / shortening the dual code based on linear OA(6418, 64, F64, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), 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.
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(8111, 125, F8, 74) (dual of [125, 14, 75]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8109, 123, F8, 73) (dual of [123, 14, 74]-code) | [i] | Truncation | |
| 3 | Linear OA(8108, 122, F8, 72) (dual of [122, 14, 73]-code) | [i] | ||
| 4 | Linear OA(8107, 121, F8, 71) (dual of [121, 14, 72]-code) | [i] | ||
| 5 | Linear OA(8105, 119, F8, 69) (dual of [119, 14, 70]-code) | [i] | ||