Information on Result #2242431
Linear OA(4206, 257, F4, 106) (dual of [257, 51, 107]-code), using 1 times truncation based on linear OA(4207, 258, F4, 107) (dual of [258, 51, 108]-code), using
- concatenation of two codes [i] based on
- linear OA(6426, 43, F64, 26) (dual of [43, 17, 27]-code or 43-arc in PG(25,64)), using
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- Reed–Solomon code RS(38,64) [i]
- discarding factors / shortening the dual code based on linear OA(6426, 64, F64, 26) (dual of [64, 38, 27]-code or 64-arc in PG(25,64)), using
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(6426, 43, F64, 26) (dual of [43, 17, 27]-code or 43-arc in PG(25,64)), 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(4207, 259, F4, 106) (dual of [259, 52, 107]-code) | [i] | Construction X with Varšamov Bound | |