Information on Result #945281
Linear OOA(278, 2730, F2, 3, 12) (dual of [(2730, 3), 8112, 13]-NRT-code), using OOA 3-folding based on linear OA(278, 8190, F2, 12) (dual of [8190, 8112, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(278, 8191, F2, 12) (dual of [8191, 8113, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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, 2488, F2, 4, 12) (dual of [(2488, 4), 9874, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(278, 2488, F2, 5, 12) (dual of [(2488, 5), 12362, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(278, 2488, F2, 6, 12) (dual of [(2488, 6), 14850, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(278, 2488, F2, 7, 12) (dual of [(2488, 7), 17338, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 2488, F2, 8, 12) (dual of [(2488, 8), 19826, 13]-NRT-code) | [i] | ||
| 6 | Digital (66, 78, 2488)-net over F2 | [i] | ||