Information on Result #952954
Linear OOA(3181, 531462, F3, 3, 20) (dual of [(531462, 3), 1594205, 21]-NRT-code), using OOA 3-folding based on linear OA(3181, 1594386, F3, 20) (dual of [1594386, 1594205, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(3170, 1594323, F3, 20) (dual of [1594323, 1594153, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(311, 63, F3, 5) (dual of [63, 52, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3182, 531462, F3, 3, 20) (dual of [(531462, 3), 1594204, 21]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3181, 531462, F3, 4, 20) (dual of [(531462, 4), 2125667, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3181, 531462, F3, 5, 20) (dual of [(531462, 5), 2657129, 21]-NRT-code) | [i] | ||
| 4 | Digital (161, 181, 531462)-net over F3 | [i] | ||