Information on Result #3160019
Digital (78, 83, large)-net over F3, using 1 times m-reduction based on digital (78, 84, large)-net over F3, using
- trace code for nets [i] based on digital (36, 42, 5592401)-net over F9, using
- net defined by OOA [i] based on linear OOA(942, 5592401, F9, 9, 6) (dual of [(5592401, 9), 50331567, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(942, 5592402, F9, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(942, 5592402, F9, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
- net defined by OOA [i] based on linear OOA(942, 5592401, F9, 9, 6) (dual of [(5592401, 9), 50331567, 7]-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 (79, 83, large)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (80, 83, large)-net over F3 | [i] | ||