Information on Result #672790
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
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 OA(293, 8207, F2, 14) (dual of [8207, 8114, 15]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 2 | Linear OOA(278, 2730, F2, 3, 12) (dual of [(2730, 3), 8112, 13]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(278, 1638, F2, 5, 12) (dual of [(1638, 5), 8112, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(278, 1365, F2, 6, 12) (dual of [(1365, 6), 8112, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(278, 1365, F2, 7, 12) (dual of [(1365, 7), 9477, 13]-NRT-code) | [i] | OA Folding and Stacking | |
| 6 | Linear OOA(278, 1365, F2, 8, 12) (dual of [(1365, 8), 10842, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(278, 1365, F2, 12, 12) (dual of [(1365, 12), 16302, 13]-NRT-code) | [i] | ||