Information on Result #1714315
Linear OOA(3197, 1398109, F3, 25, 19) (dual of [(1398109, 25), 34952528, 20]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(3197, 2796219, F3, 5, 19) (dual of [(2796219, 5), 13980898, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3197, 2796219, F3, 3, 19) (dual of [(2796219, 3), 8388460, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(316, 18, F3, 3, 9) (dual of [(18, 3), 38, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- 2 times m-reduction [i] based on digital (7, 18, 18)-net over F3, using
- extracting embedded OOA [i] based on digital (7, 16, 18)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- linear OOA(316, 18, F3, 3, 9) (dual of [(18, 3), 38, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Linear.
Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (178, 197, 1398109)-net over F3 | [i] | Net Defined by OOA | |