Information on Result #674825
Linear OA(3250, 59099, F3, 36) (dual of [59099, 58849, 37]-code), using construction X applied to C([0,18]) ⊂ C([0,15]) based on
- linear OA(3241, 59050, F3, 37) (dual of [59050, 58809, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(3201, 59050, F3, 31) (dual of [59050, 58849, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 320−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(39, 49, F3, 4) (dual of [49, 40, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(39, 80, F3, 4) (dual of [80, 71, 5]-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(3250, 29549, F3, 2, 36) (dual of [(29549, 2), 58848, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3250, 19699, F3, 3, 36) (dual of [(19699, 3), 58847, 37]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 14774, F3, 4, 36) (dual of [(14774, 4), 58846, 37]-NRT-code) | [i] | ||
| 4 | Linear OOA(3250, 11819, F3, 5, 36) (dual of [(11819, 5), 58845, 37]-NRT-code) | [i] | ||
| 5 | Linear OOA(3250, 3283, F3, 36, 36) (dual of [(3283, 36), 117938, 37]-NRT-code) | [i] | OA Folding and Stacking | |