Information on Result #684991
Linear OA(7101, 2417, F7, 29) (dual of [2417, 2316, 30]-code), using construction X applied to Ce(28) ⊂ Ce(24) 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(785, 2401, F7, 25) (dual of [2401, 2316, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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 OA(7100, 2416, F7, 28) (dual of [2416, 2316, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(7101, 1208, F7, 2, 29) (dual of [(1208, 2), 2315, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7101, 805, F7, 3, 29) (dual of [(805, 3), 2314, 30]-NRT-code) | [i] | ||