Information on Result #1213759
Digital (63, 81, 357)-net over F5, using (u, u+v)-construction based on
- digital (1, 10, 10)-net over F5, using
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- a shift-net [i]
- net from sequence [i] based on digital (1, 9)-sequence over F5, using
- digital (53, 71, 347)-net over F5, using
- net defined by OOA [i] based on linear OOA(571, 347, F5, 18, 18) (dual of [(347, 18), 6175, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(571, 3123, F5, 18) (dual of [3123, 3052, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(571, 3123, F5, 18) (dual of [3123, 3052, 19]-code), using
- net defined by OOA [i] based on linear OOA(571, 347, F5, 18, 18) (dual of [(347, 18), 6175, 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.