Information on Result #2487576
Linear OOA(3203, 9866, F3, 2, 32) (dual of [(9866, 2), 19529, 33]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3201, 9865, F3, 2, 32) (dual of [(9865, 2), 19529, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3201, 19730, F3, 32) (dual of [19730, 19529, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 47, F3, 5) (dual of [47, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
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(3203, 9866, F3, 3, 32) (dual of [(9866, 3), 29395, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3203, 9866, F3, 4, 32) (dual of [(9866, 4), 39261, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3203, 9866, F3, 5, 32) (dual of [(9866, 5), 49127, 33]-NRT-code) | [i] | ||
| 4 | Digital (171, 203, 9866)-net over F3 | [i] | ||