Information on Result #1211861
Digital (220, 260, 3281)-net over F4, using (u, u+v)-construction based on
- digital (0, 20, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (200, 240, 3276)-net over F4, using
- net defined by OOA [i] based on linear OOA(4240, 3276, F4, 40, 40) (dual of [(3276, 40), 130800, 41]-NRT-code), using
- OA 20-folding and stacking [i] based on linear OA(4240, 65520, F4, 40) (dual of [65520, 65280, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4240, 65536, F4, 40) (dual of [65536, 65296, 41]-code), using
- 1 times truncation [i] based on linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4241, 65537, F4, 41) (dual of [65537, 65296, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(4240, 65536, F4, 40) (dual of [65536, 65296, 41]-code), using
- OA 20-folding and stacking [i] based on linear OA(4240, 65520, F4, 40) (dual of [65520, 65280, 41]-code), using
- net defined by OOA [i] based on linear OOA(4240, 3276, F4, 40, 40) (dual of [(3276, 40), 130800, 41]-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.