Information on Result #2487587
Linear OOA(3224, 29551, F3, 2, 32) (dual of [(29551, 2), 58878, 33]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3222, 29550, F3, 2, 32) (dual of [(29550, 2), 58878, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3222, 59100, F3, 32) (dual of [59100, 58878, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(3211, 59049, F3, 32) (dual of [59049, 58838, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3171, 59049, F3, 26) (dual of [59049, 58878, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(311, 51, F3, 5) (dual of [51, 40, 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(3225, 29551, F3, 2, 32) (dual of [(29551, 2), 58877, 33]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3224, 26186, F3, 3, 32) (dual of [(26186, 3), 78334, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3224, 26186, F3, 4, 32) (dual of [(26186, 4), 104520, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3224, 26186, F3, 5, 32) (dual of [(26186, 5), 130706, 33]-NRT-code) | [i] | ||
| 5 | Digital (192, 224, 26186)-net over F3 | [i] | ||