Information on Result #1234540
Digital (52, 71, 59295)-net over F81, using (u, u+v)-construction based on
- digital (7, 16, 246)-net over F81, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 3, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- digital (0, 4, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81 (see above)
- digital (0, 9, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81 (see above)
- digital (0, 3, 82)-net over F81, using
- generalized (u, u+v)-construction [i] based on
- digital (36, 55, 59049)-net over F81, using
- net defined by OOA [i] based on linear OOA(8155, 59049, F81, 19, 19) (dual of [(59049, 19), 1121876, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 9-folding and stacking with additional row [i] based on linear OA(8155, 531442, F81, 19) (dual of [531442, 531387, 20]-code), using
- net defined by OOA [i] based on linear OOA(8155, 59049, F81, 19, 19) (dual of [(59049, 19), 1121876, 20]-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
None.