Information on Result #1131716
Linear OOA(2172, 87381, F2, 6, 19) (dual of [(87381, 6), 524114, 20]-NRT-code), using OOA 6-folding based on linear OA(2172, 524286, F2, 19) (dual of [524286, 524114, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2172, 524288, F2, 19) (dual of [524288, 524116, 20]-code), using
- an extension Ce(18) of 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(2172, 77182, F2, 7, 19) (dual of [(77182, 7), 540102, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2172, 77182, F2, 8, 19) (dual of [(77182, 8), 617284, 20]-NRT-code) | [i] | ||
| 3 | Digital (153, 172, 77182)-net over F2 | [i] | ||