Information on Result #1211126
Digital (137, 161, 5478)-net over F4, using (u, u+v)-construction based on
- digital (5, 17, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- digital (120, 144, 5461)-net over F4, using
- net defined by OOA [i] based on linear OOA(4144, 5461, F4, 24, 24) (dual of [(5461, 24), 130920, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(4144, 65532, F4, 24) (dual of [65532, 65388, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4144, 65536, F4, 24) (dual of [65536, 65392, 25]-code), using
- 1 times truncation [i] based on linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, 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(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4144, 65536, F4, 24) (dual of [65536, 65392, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(4144, 65532, F4, 24) (dual of [65532, 65388, 25]-code), using
- net defined by OOA [i] based on linear OOA(4144, 5461, F4, 24, 24) (dual of [(5461, 24), 130920, 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.