Information on Result #2266747
Linear OA(3246, 19748, F3, 38) (dual of [19748, 19502, 39]-code), using 5 times code embedding in larger space based on linear OA(3241, 19743, F3, 38) (dual of [19743, 19502, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(3226, 19683, F3, 38) (dual of [19683, 19457, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3181, 19683, F3, 31) (dual of [19683, 19502, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(315, 60, F3, 6) (dual of [60, 45, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3246, 12577, F3, 2, 38) (dual of [(12577, 2), 24908, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3246, 12577, F3, 3, 38) (dual of [(12577, 3), 37485, 39]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 12577, F3, 4, 38) (dual of [(12577, 4), 50062, 39]-NRT-code) | [i] | ||
| 4 | Linear OOA(3246, 12577, F3, 5, 38) (dual of [(12577, 5), 62639, 39]-NRT-code) | [i] | ||
| 5 | Digital (208, 246, 12577)-net over F3 | [i] | ||