Information on Result #2677109
Linear OOA(3186, 2796203, F3, 3, 18) (dual of [(2796203, 3), 8388423, 19]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3180, 2796201, F3, 3, 18) (dual of [(2796201, 3), 8388423, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3187, 2796203, F3, 3, 18) (dual of [(2796203, 3), 8388422, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3188, 2796203, F3, 3, 18) (dual of [(2796203, 3), 8388421, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3186, 2796203, F3, 4, 18) (dual of [(2796203, 4), 11184626, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(3186, 2796203, F3, 5, 18) (dual of [(2796203, 5), 13980829, 19]-NRT-code) | [i] | ||
| 5 | Digital (168, 186, 2796203)-net over F3 | [i] | ||