Information on Result #977180
Linear OOA(7101, 807, F7, 3, 28) (dual of [(807, 3), 2320, 29]-NRT-code), using OOA 3-folding based on linear OA(7101, 2421, F7, 28) (dual of [2421, 2320, 29]-code), using
- construction X applied to Ce(28) ⊂ Ce(23) [i] based on
- linear OA(797, 2401, F7, 29) (dual of [2401, 2304, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(74, 20, F7, 3) (dual of [20, 16, 4]-code or 20-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(7102, 807, F7, 3, 28) (dual of [(807, 3), 2319, 29]-NRT-code) | [i] | OOA Duplication | |