Information on Result #1211118
Digital (115, 139, 1374)-net over F4, using (u, u+v)-construction based on
- digital (1, 13, 9)-net over F4, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- digital (102, 126, 1365)-net over F4, using
- net defined by OOA [i] based on linear OOA(4126, 1365, F4, 24, 24) (dual of [(1365, 24), 32634, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(4126, 16380, F4, 24) (dual of [16380, 16254, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4126, 16384, F4, 24) (dual of [16384, 16258, 25]-code), using
- 1 times truncation [i] based on linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, 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(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4126, 16384, F4, 24) (dual of [16384, 16258, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(4126, 16380, F4, 24) (dual of [16380, 16254, 25]-code), using
- net defined by OOA [i] based on linear OOA(4126, 1365, F4, 24, 24) (dual of [(1365, 24), 32634, 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.