Information on Result #1606867
Linear OOA(3177, 2796212, F3, 4, 17) (dual of [(2796212, 4), 11184671, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3177, 2796212, F3, 3, 17) (dual of [(2796212, 3), 8388459, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(311, 11, F3, 3, 8) (dual of [(11, 3), 22, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 11, 11)-net over F3, using
- linear OOA(3166, 2796201, F3, 3, 17) (dual of [(2796201, 3), 8388437, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- OOA 3-folding [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- linear OOA(311, 11, F3, 3, 8) (dual of [(11, 3), 22, 9]-NRT-code), using
Mode: 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(3177, 1398105, F3, 20, 17) (dual of [(1398105, 20), 27961923, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |