Information on Result #1227950
Digital (44, 68, 762)-net over F81, using (u, u+v)-construction based on
- digital (9, 21, 216)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (1, 7, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- digital (2, 14, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- digital (1, 7, 100)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (23, 47, 546)-net over F81, using
- net defined by OOA [i] based on linear OOA(8147, 546, F81, 24, 24) (dual of [(546, 24), 13057, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(8147, 6552, F81, 24) (dual of [6552, 6505, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(8147, 6552, F81, 24) (dual of [6552, 6505, 25]-code), using
- net defined by OOA [i] based on linear OOA(8147, 546, F81, 24, 24) (dual of [(546, 24), 13057, 25]-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.