Information on Result #685041
Linear OA(7108, 2436, F7, 29) (dual of [2436, 2328, 30]-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(711, 35, F7, 6) (dual of [35, 24, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(711, 48, F7, 6) (dual of [48, 37, 7]-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(7107, 2435, F7, 28) (dual of [2435, 2328, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(7108, 1218, F7, 2, 29) (dual of [(1218, 2), 2328, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7108, 812, F7, 3, 29) (dual of [(812, 3), 2328, 30]-NRT-code) | [i] | ||