Information on Result #616171
Linear OA(9146, 162, F9, 101) (dual of [162, 16, 102]-code), using construction X applied to C([0,99]) ⊂ C([1,99]) based on
- linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
- linear OA(9144, 160, F9, 99) (dual of [160, 16, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(91, 2, F9, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(9146, 162, F9, 100) (dual of [162, 16, 101]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(9146, 162, F9, 99) (dual of [162, 16, 100]-code) | [i] | ||
| 3 | Linear OOA(9146, 81, F9, 2, 101) (dual of [(81, 2), 16, 102]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9146, 54, F9, 3, 101) (dual of [(54, 3), 16, 102]-NRT-code) | [i] | ||