Information on Result #1208721
Digital (133, 157, 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, 144, 1640)-net over F3, using
- net defined by OOA [i] based on linear OOA(3144, 1640, F3, 24, 24) (dual of [(1640, 24), 39216, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(3144, 19680, F3, 24) (dual of [19680, 19536, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 19683, F3, 24) (dual of [19683, 19539, 25]-code), using
- 1 times truncation [i] based on linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3145, 19684, F3, 25) (dual of [19684, 19539, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 19683, F3, 24) (dual of [19683, 19539, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(3144, 19680, F3, 24) (dual of [19680, 19536, 25]-code), using
- net defined by OOA [i] based on linear OOA(3144, 1640, F3, 24, 24) (dual of [(1640, 24), 39216, 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.