Information on Result #1228277
Digital (39, 55, 262294)-net over F128, using (u, u+v)-construction based on
- digital (1, 9, 150)-net over F128, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- net from sequence [i] based on digital (1, 149)-sequence over F128, using
- digital (30, 46, 262144)-net over F128, using
- net defined by OOA [i] based on linear OOA(12846, 262144, F128, 16, 16) (dual of [(262144, 16), 4194258, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OA 8-folding and stacking [i] based on linear OA(12846, 2097152, F128, 16) (dual of [2097152, 2097106, 17]-code), using
- net defined by OOA [i] based on linear OOA(12846, 262144, F128, 16, 16) (dual of [(262144, 16), 4194258, 17]-NRT-code), 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (40, 56, 262294)-net over F128 | [i] | Net Duplication | |