Information on Result #2250064
Linear OA(8144, 152, F8, 111) (dual of [152, 8, 112]-code), using 2 times truncation based on linear OA(8146, 154, F8, 113) (dual of [154, 8, 114]-code), using
- concatenation of two codes [i] based on
- linear OA(6418, 22, F64, 18) (dual of [22, 4, 19]-code or 22-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(85, 7, F8, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- Reed–Solomon code RS(3,8) [i]
- discarding factors / shortening the dual code based on linear OA(85, 8, F8, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
- linear OA(6418, 22, F64, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), 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(8146, 155, F8, 111) (dual of [155, 9, 112]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(8144, 76, F8, 2, 111) (dual of [(76, 2), 8, 112]-NRT-code) | [i] | OOA Folding | |