Information on Result #674654
Linear OA(368, 177171, F3, 9) (dual of [177171, 177103, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(367, 177148, F3, 9) (dual of [177148, 177081, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(345, 177148, F3, 7) (dual of [177148, 177103, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 177148 | 322−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 23, F3, 1) (dual of [23, 22, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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 OOA(368, 59057, F3, 3, 9) (dual of [(59057, 3), 177103, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(368, 44292, F3, 5, 9) (dual of [(44292, 5), 221392, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 3 | Linear OOA(368, 44292, F3, 9, 9) (dual of [(44292, 9), 398560, 10]-NRT-code) | [i] | ||