Information on Result #685046
Linear OA(792, 2436, F7, 24) (dual of [2436, 2344, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(781, 2401, F7, 24) (dual of [2401, 2320, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(757, 2401, F7, 17) (dual of [2401, 2344, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(792, 1218, F7, 2, 24) (dual of [(1218, 2), 2344, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(792, 812, F7, 3, 24) (dual of [(812, 3), 2344, 25]-NRT-code) | [i] | ||