Information on Result #954370
Linear OOA(3245, 59068, F3, 3, 32) (dual of [(59068, 3), 176959, 33]-NRT-code), using OOA 3-folding based on linear OA(3245, 177204, F3, 32) (dual of [177204, 176959, 33]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3243, 177202, F3, 32) (dual of [177202, 176959, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3232, 177147, F3, 32) (dual of [177147, 176915, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3188, 177147, F3, 26) (dual of [177147, 176959, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 55, F3, 5) (dual of [55, 44, 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(3246, 59068, F3, 3, 32) (dual of [(59068, 3), 176958, 33]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3245, 59068, F3, 4, 32) (dual of [(59068, 4), 236027, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3245, 59068, F3, 5, 32) (dual of [(59068, 5), 295095, 33]-NRT-code) | [i] | ||
| 4 | Digital (213, 245, 59068)-net over F3 | [i] | ||