Information on Result #1564932
Linear OOA(6476, 3458, F64, 3, 34) (dual of [(3458, 3), 10298, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6476, 3458, F64, 34) (dual of [3458, 3382, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(6476, 4125, F64, 34) (dual of [4125, 4049, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(23) [i] based on
- linear OA(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(6447, 4096, F64, 24) (dual of [4096, 4049, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(649, 29, F64, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,64)), using
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- Reed–Solomon code RS(55,64) [i]
- discarding factors / shortening the dual code based on linear OA(649, 64, F64, 9) (dual of [64, 55, 10]-code or 64-arc in PG(8,64)), using
- construction X applied to Ce(33) ⊂ Ce(23) [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(6476, 576, F64, 39, 34) (dual of [(576, 39), 22388, 35]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |