Information on Result #1205058
Digital (93, 100, large)-net over F3, using trace code for nets 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
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, 100, large)-net over F3 | [i] | t-Expansion | |
2 | Digital (95, 100, large)-net over F3 | [i] | ||
3 | Digital (96, 100, large)-net over F3 | [i] | ||
4 | Digital (97, 100, large)-net over F3 | [i] | ||
5 | Digital (94, 101, large)-net over F3 | [i] | Net Duplication | |
6 | Digital (95, 102, large)-net over F3 | [i] | ||
7 | Digital (96, 103, large)-net over F3 | [i] | ||
8 | Digital (97, 104, large)-net over F3 | [i] | ||
9 | Digital (98, 105, large)-net over F3 | [i] | ||
10 | Digital (99, 106, large)-net over F3 | [i] | ||
11 | Digital (100, 107, large)-net over F3 | [i] | ||
12 | Digital (101, 108, large)-net over F3 | [i] | ||
13 | Digital (102, 109, large)-net over F3 | [i] | ||
14 | Digital (103, 110, large)-net over F3 | [i] | ||
15 | Digital (104, 111, large)-net over F3 | [i] | ||
16 | Digital (105, 112, large)-net over F3 | [i] | ||
17 | Digital (106, 113, large)-net over F3 | [i] | ||
18 | Digital (107, 114, large)-net over F3 | [i] | ||
19 | Digital (108, 115, large)-net over F3 | [i] | ||
20 | Digital (109, 116, large)-net over F3 | [i] | ||
21 | Digital (110, 117, large)-net over F3 | [i] | ||
22 | Digital (111, 118, large)-net over F3 | [i] | ||
23 | Digital (93, 99, large)-net over F3 | [i] | m-Reduction | |
24 | Digital (93, 98, large)-net over F3 | [i] | ||
25 | Digital (93, 97, large)-net over F3 | [i] | ||
26 | Digital (93, 96, large)-net over F3 | [i] |