Information on Result #737755
Linear OA(746, 62, F7, 30) (dual of [62, 16, 31]-code), using construction X applied to C([1,63]) ⊂ C([1,47]) based on
- linear OA(739, 48, F7, 31) (dual of [48, 9, 32]-code), using contraction [i] based on linear OA(787, 96, F7, 63) (dual of [96, 9, 64]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(732, 48, F7, 23) (dual of [48, 16, 24]-code), using contraction [i] based on linear OA(780, 96, F7, 47) (dual of [96, 16, 48]-code), using the narrow-sense BCH-code C(I) with length 96 | 74−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(77, 14, F7, 6) (dual of [14, 7, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(746, 62, F7, 29) (dual of [62, 16, 30]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(748, 65, F7, 30) (dual of [65, 17, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(746, 31, F7, 2, 30) (dual of [(31, 2), 16, 31]-NRT-code) | [i] | OOA Folding | |