Information on Result #1227919
Digital (36, 58, 746)-net over F81, using (u, u+v)-construction based on
- digital (4, 15, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- digital (21, 43, 596)-net over F81, using
- net defined by OOA [i] based on linear OOA(8143, 596, F81, 22, 22) (dual of [(596, 22), 13069, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(8143, 6556, F81, 22) (dual of [6556, 6513, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using
- OA 11-folding and stacking [i] based on linear OA(8143, 6556, F81, 22) (dual of [6556, 6513, 23]-code), using
- net defined by OOA [i] based on linear OOA(8143, 596, F81, 22, 22) (dual of [(596, 22), 13069, 23]-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.