Information on Result #682488
Linear OA(568, 78150, F5, 12) (dual of [78150, 78082, 13]-code), using construction X applied to Ce(11) ⊂ Ce(7) based on
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), 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(568, 54571, F5, 2, 12) (dual of [(54571, 2), 109074, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(568, 54571, F5, 3, 12) (dual of [(54571, 3), 163645, 13]-NRT-code) | [i] | ||
| 3 | Digital (56, 68, 54571)-net over F5 | [i] | ||
| 4 | Linear OOA(568, 39075, F5, 2, 12) (dual of [(39075, 2), 78082, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(568, 26050, F5, 3, 12) (dual of [(26050, 3), 78082, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(568, 13025, F5, 12, 12) (dual of [(13025, 12), 156232, 13]-NRT-code) | [i] | OA Folding and Stacking | |