Information on Result #737746
Linear OA(778, 360, F7, 29) (dual of [360, 282, 30]-code), using construction X applied to Ce(28) ⊂ Ce(23) based on
- linear OA(773, 343, F7, 29) (dual of [343, 270, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(761, 343, F7, 24) (dual of [343, 282, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(75, 17, F7, 4) (dual of [17, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(75, 18, F7, 4) (dual of [18, 13, 5]-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(778, 180, F7, 2, 29) (dual of [(180, 2), 282, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(778, 120, F7, 3, 29) (dual of [(120, 3), 282, 30]-NRT-code) | [i] | ||