Information on Result #1213811
Digital (101, 120, 8701)-net over F5, using (u, u+v)-construction based on
- digital (5, 14, 20)-net over F5, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- digital (87, 106, 8681)-net over F5, using
- net defined by OOA [i] based on linear OOA(5106, 8681, F5, 19, 19) (dual of [(8681, 19), 164833, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5106, 78130, F5, 19) (dual of [78130, 78024, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5106, 78132, F5, 19) (dual of [78132, 78026, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(5106, 78132, F5, 19) (dual of [78132, 78026, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5106, 78130, F5, 19) (dual of [78130, 78024, 20]-code), using
- net defined by OOA [i] based on linear OOA(5106, 8681, F5, 19, 19) (dual of [(8681, 19), 164833, 20]-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.