Information on Result #684568
Linear OA(747, 823568, F7, 8) (dual of [823568, 823521, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(722, 823543, F7, 4) (dual of [823543, 823521, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(747, 823568, F7, 2, 8) (dual of [(823568, 2), 1647089, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(747, 823568, F7, 3, 8) (dual of [(823568, 3), 2470657, 9]-NRT-code) | [i] | ||
| 3 | Digital (39, 47, 823568)-net over F7 | [i] | ||
| 4 | Linear OOA(747, 411784, F7, 2, 8) (dual of [(411784, 2), 823521, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(747, 274522, F7, 3, 8) (dual of [(274522, 3), 823519, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(747, 205892, F7, 8, 8) (dual of [(205892, 8), 1647089, 9]-NRT-code) | [i] | OA Folding and Stacking | |