Information on Result #1564662
Linear OOA(6463, 5775, F64, 3, 26) (dual of [(5775, 3), 17262, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6463, 5775, F64, 26) (dual of [5775, 5712, 27]-code), using
- 1663 step Varšamov–Edel lengthening with (ri) = (5, 0, 0, 1, 10 times 0, 1, 30 times 0, 1, 87 times 0, 1, 225 times 0, 1, 496 times 0, 1, 806 times 0) [i] based on linear OA(6452, 4101, F64, 26) (dual of [4101, 4049, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- 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(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(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ 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(6463, 1154, F64, 33, 26) (dual of [(1154, 33), 38019, 27]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |