Information on Result #685042
Linear OA(7104, 2432, F7, 28) (dual of [2432, 2328, 29]-code), using construction X applied to Ce(28) ⊂ Ce(21) 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(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(77, 31, F7, 5) (dual of [31, 24, 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(7105, 2433, F7, 28) (dual of [2433, 2328, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(7106, 2434, F7, 28) (dual of [2434, 2328, 29]-code) | [i] | ||
| 3 | Linear OOA(7104, 1216, F7, 2, 28) (dual of [(1216, 2), 2328, 29]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(7104, 810, F7, 3, 28) (dual of [(810, 3), 2326, 29]-NRT-code) | [i] | ||