Information on Result #3160778
Digital (93, 98, large)-net over F3, using 2 times m-reduction based on digital (93, 100, large)-net over F3, using
- trace code for nets [i] based on digital (43, 50, 5592401)-net over F9, using
- net defined by OOA [i] based on linear OOA(950, 5592401, F9, 9, 7) (dual of [(5592401, 9), 50331559, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(950, 5592402, F9, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- trace code [i] based on linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8125, large, F81, 7) (dual of [large, large−25, 8]-code), using
- trace code [i] based on linear OOA(8125, 2796201, F81, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(950, 5592402, F9, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(950, 5592401, F9, 9, 7) (dual of [(5592401, 9), 50331559, 8]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (94, 98, large)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (95, 98, large)-net over F3 | [i] | ||