Information on Result #674820
Linear OA(362, 59071, F3, 9) (dual of [59071, 59009, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(361, 59050, F3, 9) (dual of [59050, 58989, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(341, 59050, F3, 7) (dual of [59050, 59009, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(31, 21, F3, 1) (dual of [21, 20, 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(362, 19690, F3, 3, 9) (dual of [(19690, 3), 59008, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(362, 14767, F3, 5, 9) (dual of [(14767, 5), 73773, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 3 | Linear OOA(362, 14767, F3, 9, 9) (dual of [(14767, 9), 132841, 10]-NRT-code) | [i] | ||