Information on Result #1213822
Digital (130, 149, 217032)-net over F5, using (u, u+v)-construction based on
- digital (4, 13, 18)-net over F5, using
- net from sequence [i] based on digital (4, 17)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- net from sequence [i] based on digital (4, 17)-sequence over F5, using
- digital (117, 136, 217014)-net over F5, using
- net defined by OOA [i] based on linear OOA(5136, 217014, F5, 19, 19) (dual of [(217014, 19), 4123130, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5136, 1953127, F5, 19) (dual of [1953127, 1952991, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(5136, 1953134, F5, 19) (dual of [1953134, 1952998, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(5136, 1953125, F5, 19) (dual of [1953125, 1952989, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(5127, 1953125, F5, 18) (dual of [1953125, 1952998, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 9, F5, 0) (dual of [9, 9, 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(5136, 1953134, F5, 19) (dual of [1953134, 1952998, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(5136, 1953127, F5, 19) (dual of [1953127, 1952991, 20]-code), using
- net defined by OOA [i] based on linear OOA(5136, 217014, F5, 19, 19) (dual of [(217014, 19), 4123130, 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.