Information on Result #945499
Linear OOA(278, 682, F2, 3, 15) (dual of [(682, 3), 1968, 16]-NRT-code), using OOA 3-folding based on linear OA(278, 2046, F2, 15) (dual of [2046, 1968, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 2048, F2, 15) (dual of [2048, 1970, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(278, 539, F2, 4, 15) (dual of [(539, 4), 2078, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(278, 539, F2, 5, 15) (dual of [(539, 5), 2617, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(278, 539, F2, 6, 15) (dual of [(539, 6), 3156, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(278, 539, F2, 7, 15) (dual of [(539, 7), 3695, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 539, F2, 8, 15) (dual of [(539, 8), 4234, 16]-NRT-code) | [i] | ||
| 6 | Digital (63, 78, 539)-net over F2 | [i] | ||