Information on Result #685034
Linear OA(780, 2428, F7, 22) (dual of [2428, 2348, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(77, 27, F7, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), 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(779, 2427, F7, 21) (dual of [2427, 2348, 22]-code) | [i] | Truncation | |
| 2 | Linear OOA(780, 1214, F7, 2, 22) (dual of [(1214, 2), 2348, 23]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(780, 809, F7, 3, 22) (dual of [(809, 3), 2347, 23]-NRT-code) | [i] | ||