Information on Result #2249967
Linear OA(8168, 174, F8, 137) (dual of [174, 6, 138]-code), using 2 times truncation based on linear OA(8170, 176, F8, 139) (dual of [176, 6, 140]-code), using
- concatenation of two codes [i] based on
- linear OA(6419, 22, F64, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,64)), using
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), using
- Reed–Solomon code RS(45,64) [i]
- discarding factors / shortening the dual code based on linear OA(6419, 64, F64, 19) (dual of [64, 45, 20]-code or 64-arc in PG(18,64)), 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(6419, 22, F64, 19) (dual of [22, 3, 20]-code or 22-arc in PG(18,64)), 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(8171, 177, F8, 137) (dual of [177, 6, 138]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8172, 178, F8, 137) (dual of [178, 6, 138]-code) | [i] | ||
| 3 | Linear OOA(8168, 87, F8, 2, 137) (dual of [(87, 2), 6, 138]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8168, 58, F8, 3, 137) (dual of [(58, 3), 6, 138]-NRT-code) | [i] | ||