Information on Result #738372
Linear OA(9143, 150, F9, 114) (dual of [150, 7, 115]-code), using juxtaposition based on
- linear OA(961, 68, F9, 51) (dual of [68, 7, 52]-code), using
- 5 times truncation [i] based on linear OA(966, 73, F9, 56) (dual of [73, 7, 57]-code), using
- linear OA(975, 82, F9, 62) (dual of [82, 7, 63]-code), using
- discarding factors / shortening the dual code based on linear OA(975, 83, F9, 62) (dual of [83, 8, 63]-code), using
- construction X applied to Ce(61) ⊂ Ce(60) [i] based on
- linear OA(975, 81, F9, 62) (dual of [81, 6, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(973, 81, F9, 61) (dual of [81, 8, 62]-code), using an extension Ce(60) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(90, 2, F9, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(61) ⊂ Ce(60) [i] based on
- discarding factors / shortening the dual code based on linear OA(975, 83, F9, 62) (dual of [83, 8, 63]-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(9143, 75, F9, 2, 114) (dual of [(75, 2), 7, 115]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9143, 50, F9, 3, 114) (dual of [(50, 3), 7, 115]-NRT-code) | [i] | ||