Information on Result #685049
Linear OA(7110, 2442, F7, 29) (dual of [2442, 2332, 30]-code), using construction X applied to Ce(28) ⊂ Ce(19) 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(769, 2401, F7, 20) (dual of [2401, 2332, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(713, 41, F7, 8) (dual of [41, 28, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(713, 48, F7, 8) (dual of [48, 35, 9]-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(7109, 2441, F7, 28) (dual of [2441, 2332, 29]-code) | [i] | Truncation | |
| 2 | Linear OOA(7110, 1221, F7, 2, 29) (dual of [(1221, 2), 2332, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7110, 814, F7, 3, 29) (dual of [(814, 3), 2332, 30]-NRT-code) | [i] | ||