Information on Result #2279007
Linear OA(787, 5764839, F7, 12) (dual of [5764839, 5764752, 13]-code), using 2 times code embedding in larger space based on linear OA(785, 5764837, F7, 12) (dual of [5764837, 5764752, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(749, 5764801, F7, 8) (dual of [5764801, 5764752, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(74, 36, F7, 3) (dual of [36, 32, 4]-code or 36-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(787, 5764839, F7, 2, 12) (dual of [(5764839, 2), 11529591, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(787, 5764839, F7, 3, 12) (dual of [(5764839, 3), 17294430, 13]-NRT-code) | [i] | ||
| 3 | Digital (75, 87, 5764839)-net over F7 | [i] | ||
| 4 | Linear OOA(787, 1921613, F7, 3, 12) (dual of [(1921613, 3), 5764752, 13]-NRT-code) | [i] | OOA Folding | |