Information on Result #2487592
Linear OOA(3230, 29559, F3, 2, 32) (dual of [(29559, 2), 58888, 33]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3226, 29557, F3, 2, 32) (dual of [(29557, 2), 58888, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 59114, F3, 32) (dual of [59114, 58888, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [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(3161, 59049, F3, 25) (dual of [59049, 58888, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(315, 65, F3, 6) (dual of [65, 50, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-code), using
- construction X applied to Ce(31) ⊂ Ce(24) [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(3231, 29559, F3, 2, 32) (dual of [(29559, 2), 58887, 33]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3230, 29559, F3, 3, 32) (dual of [(29559, 3), 88447, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(3230, 29559, F3, 4, 32) (dual of [(29559, 4), 118006, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3230, 29559, F3, 5, 32) (dual of [(29559, 5), 147565, 33]-NRT-code) | [i] | ||
| 5 | Digital (198, 230, 29559)-net over F3 | [i] | ||