Information on Result #2874040
Linear OOA(3203, 3595114, F3, 5, 14) (dual of [(3595114, 5), 17975367, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3198, 3595113, F3, 5, 14) (dual of [(3595113, 5), 17975367, 15]-NRT-code), using
- extracting embedded OOA [i] based on digital (184, 198, 3595113)-net over F3, using
- trace code for nets [i] based on digital (52, 66, 1198371)-net over F27, using
- net defined by OOA [i] based on linear OOA(2766, 1198371, F27, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2766, large, F27, 14) (dual of [large, large−66, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2766, 8388597, F27, 14) (dual of [8388597, 8388531, 15]-code), using
- net defined by OOA [i] based on linear OOA(2766, 1198371, F27, 14, 14) (dual of [(1198371, 14), 16777128, 15]-NRT-code), using
- trace code for nets [i] based on digital (52, 66, 1198371)-net over F27, using
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(3204, 3595114, F3, 5, 14) (dual of [(3595114, 5), 17975366, 15]-NRT-code) | [i] | OOA Duplication | |