Information on Result #1213763
Digital (79, 97, 1752)-net over F5, using (u, u+v)-construction based on
- digital (3, 12, 16)-net over F5, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- digital (67, 85, 1736)-net over F5, using
- net defined by OOA [i] based on linear OOA(585, 1736, F5, 18, 18) (dual of [(1736, 18), 31163, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(585, 15624, F5, 18) (dual of [15624, 15539, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(585, 15625, F5, 18) (dual of [15625, 15540, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(585, 15624, F5, 18) (dual of [15624, 15539, 19]-code), using
- net defined by OOA [i] based on linear OOA(585, 1736, F5, 18, 18) (dual of [(1736, 18), 31163, 19]-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.