Information on Result #684566
Linear OA(761, 823568, F7, 10) (dual of [823568, 823507, 11]-code), using construction X applied to Ce(9) ⊂ Ce(5) based on
- 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(736, 823543, F7, 6) (dual of [823543, 823507, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(74, 25, F7, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,7)), 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(761, 823568, F7, 2, 10) (dual of [(823568, 2), 1647075, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(761, 823568, F7, 3, 10) (dual of [(823568, 3), 2470643, 11]-NRT-code) | [i] | ||
| 3 | Digital (51, 61, 823568)-net over F7 | [i] | ||
| 4 | Linear OOA(761, 411784, F7, 2, 10) (dual of [(411784, 2), 823507, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(761, 274522, F7, 3, 10) (dual of [(274522, 3), 823505, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(761, 164713, F7, 10, 10) (dual of [(164713, 10), 1647069, 11]-NRT-code) | [i] | OA Folding and Stacking | |