Information on Result #1681190
Linear OOA(2134, 87381, F2, 7, 15) (dual of [(87381, 7), 611533, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2134, 87381, F2, 6, 15) (dual of [(87381, 6), 524152, 16]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2134, 524286, F2, 15) (dual of [524286, 524152, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2134, 524288, F2, 15) (dual of [524288, 524154, 16]-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(2134, 87380, F2, 8, 15) (dual of [(87380, 8), 698906, 16]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2134, 87380, F2, 21, 15) (dual of [(87380, 21), 1834846, 16]-NRT-code) | [i] | ||