Information on Result #1565273
Linear OOA(6489, 5188, F64, 3, 38) (dual of [(5188, 3), 15475, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(6489, 5188, F64, 38) (dual of [5188, 5099, 39]-code), using
- 1076 step Varšamov–Edel lengthening with (ri) = (6, 0, 1, 4 times 0, 1, 9 times 0, 1, 21 times 0, 1, 43 times 0, 1, 85 times 0, 1, 163 times 0, 1, 291 times 0, 1, 450 times 0) [i] based on linear OA(6475, 4098, F64, 38) (dual of [4098, 4023, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(36) [i] based on
- linear OA(6475, 4096, F64, 38) (dual of [4096, 4021, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- 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(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(37) ⊂ Ce(36) [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(6489, 741, F64, 45, 38) (dual of [(741, 45), 33256, 39]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |