Information on Result #1565106
Linear OOA(6483, 3746, F64, 3, 37) (dual of [(3746, 3), 11155, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6483, 3746, F64, 37) (dual of [3746, 3663, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(6483, 4128, F64, 37) (dual of [4128, 4045, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(25) [i] based on
- linear OA(6473, 4096, F64, 37) (dual of [4096, 4023, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(6451, 4096, F64, 26) (dual of [4096, 4045, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6410, 32, F64, 10) (dual of [32, 22, 11]-code or 32-arc in PG(9,64)), using
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- Reed–Solomon code RS(54,64) [i]
- discarding factors / shortening the dual code based on linear OA(6410, 64, F64, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
- construction X applied to Ce(36) ⊂ Ce(25) [i] based on
Mode: 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 OOA(6483, 624, F64, 39, 37) (dual of [(624, 39), 24253, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |