Information on Result #639854
Linear OA(8152, 170, F8, 103) (dual of [170, 18, 104]-code), using concatenation of two codes based on
- linear OA(6425, 34, F64, 25) (dual of [34, 9, 26]-code or 34-arc in PG(24,64)), using
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), using
- Reed–Solomon code RS(39,64) [i]
- discarding factors / shortening the dual code based on linear OA(6425, 64, F64, 25) (dual of [64, 39, 26]-code or 64-arc in PG(24,64)), 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(8152, 170, F8, 102) (dual of [170, 18, 103]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8151, 169, F8, 102) (dual of [169, 18, 103]-code) | [i] | Truncation | |
| 3 | Linear OA(8149, 167, F8, 100) (dual of [167, 18, 101]-code) | [i] | ||
| 4 | Linear OA(8148, 166, F8, 99) (dual of [166, 18, 100]-code) | [i] | ||
| 5 | Linear OA(8145, 163, F8, 96) (dual of [163, 18, 97]-code) | [i] | ||
| 6 | Linear OOA(8152, 85, F8, 2, 103) (dual of [(85, 2), 18, 104]-NRT-code) | [i] | OOA Folding | |