Information on Result #1208743
Digital (133, 158, 1647)-net over F3, using (u, u+v)-construction based on
- digital (1, 13, 7)-net over F3, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (120, 145, 1640)-net over F3, using
- net defined by OOA [i] based on linear OOA(3145, 1640, F3, 25, 25) (dual of [(1640, 25), 40855, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3145, 19681, F3, 25) (dual of [19681, 19536, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(3145, 19681, F3, 25) (dual of [19681, 19536, 26]-code), using
- net defined by OOA [i] based on linear OOA(3145, 1640, F3, 25, 25) (dual of [(1640, 25), 40855, 26]-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.