Information on Result #1208031
Digital (67, 79, 3287)-net over F3, using (u, u+v)-construction based on
- digital (1, 7, 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
- a shift-net [i]
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (60, 72, 3280)-net over F3, using
- net defined by OOA [i] based on linear OOA(372, 3280, F3, 12, 12) (dual of [(3280, 12), 39288, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(372, 19680, F3, 12) (dual of [19680, 19608, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(372, 19683, F3, 12) (dual of [19683, 19611, 13]-code), using
- 1 times truncation [i] based on linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(373, 19684, F3, 13) (dual of [19684, 19611, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(372, 19683, F3, 12) (dual of [19683, 19611, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(372, 19680, F3, 12) (dual of [19680, 19608, 13]-code), using
- net defined by OOA [i] based on linear OOA(372, 3280, F3, 12, 12) (dual of [(3280, 12), 39288, 13]-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.