Information on Result #1227735
Digital (23, 38, 1053)-net over F81, using (u, u+v)-construction based on
- digital (2, 9, 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 (14, 29, 937)-net over F81, using
- net defined by OOA [i] based on linear OOA(8129, 937, F81, 15, 15) (dual of [(937, 15), 14026, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8129, 6560, F81, 15) (dual of [6560, 6531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(8129, 6560, F81, 15) (dual of [6560, 6531, 16]-code), using
- net defined by OOA [i] based on linear OOA(8129, 937, F81, 15, 15) (dual of [(937, 15), 14026, 16]-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.