Information on Result #1131591
Linear OOA(2171, 87381, F2, 6, 18) (dual of [(87381, 6), 524115, 19]-NRT-code), using OOA 6-folding based on linear OA(2171, 524286, F2, 18) (dual of [524286, 524115, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2171, 524287, F2, 18) (dual of [524287, 524116, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
Mode: Constructive and 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(2171, 87381, F2, 7, 18) (dual of [(87381, 7), 611496, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2171, 87381, F2, 8, 18) (dual of [(87381, 8), 698877, 19]-NRT-code) | [i] | ||
| 3 | Digital (153, 171, 87381)-net over F2 | [i] | ||