Information on Result #841208
Linear OOA(784, 1218, F7, 2, 22) (dual of [(1218, 2), 2352, 23]-NRT-code), using OOA 2-folding based on linear OA(784, 2436, F7, 22) (dual of [2436, 2352, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(14) [i] 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(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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 OOA(785, 1218, F7, 2, 22) (dual of [(1218, 2), 2351, 23]-NRT-code) | [i] | OOA Duplication | |