Information on Result #2250193
Linear OA(8163, 171, F8, 127) (dual of [171, 8, 128]-code), using 5 times truncation based on linear OA(8168, 176, F8, 132) (dual of [176, 8, 133]-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(86, 8, F8, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
- Reed–Solomon code RS(2,8) [i]
- 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(8166, 175, F8, 127) (dual of [175, 9, 128]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(8163, 57, F8, 3, 127) (dual of [(57, 3), 8, 128]-NRT-code) | [i] | OOA Folding | |