Information on Result #684546
Linear OA(772, 823558, F7, 12) (dual of [823558, 823486, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(771, 823543, F7, 12) (dual of [823543, 823472, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(757, 823543, F7, 10) (dual of [823543, 823486, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(71, 15, F7, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(772, 755123, F7, 2, 12) (dual of [(755123, 2), 1510174, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(772, 755123, F7, 3, 12) (dual of [(755123, 3), 2265297, 13]-NRT-code) | [i] | ||
| 3 | Digital (60, 72, 755123)-net over F7 | [i] | ||
| 4 | Linear OOA(772, 411779, F7, 2, 12) (dual of [(411779, 2), 823486, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(772, 274519, F7, 3, 12) (dual of [(274519, 3), 823485, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(772, 137259, F7, 12, 12) (dual of [(137259, 12), 1647036, 13]-NRT-code) | [i] | OA Folding and Stacking | |