Information on Result #1680018
Linear OOA(2105, 8191, F2, 7, 14) (dual of [(8191, 7), 57232, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2105, 8191, F2, 4, 14) (dual of [(8191, 4), 32659, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2105, 32764, F2, 14) (dual of [32764, 32659, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2105, 32767, F2, 14) (dual of [32767, 32662, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2105, 32767, F2, 14) (dual of [32767, 32662, 15]-code), using
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(2105, 8190, F2, 8, 14) (dual of [(8190, 8), 65415, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2105, 8190, F2, 21, 14) (dual of [(8190, 21), 171885, 15]-NRT-code) | [i] | ||