Information on Result #1210683
Digital (109, 127, 29133)-net over F4, using (u, u+v)-construction based on
- digital (0, 9, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (100, 118, 29128)-net over F4, using
- net defined by OOA [i] based on linear OOA(4118, 29128, F4, 18, 18) (dual of [(29128, 18), 524186, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(4118, 262152, F4, 18) (dual of [262152, 262034, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4118, 262153, F4, 18) (dual of [262153, 262035, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(4118, 262153, F4, 18) (dual of [262153, 262035, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(4118, 262152, F4, 18) (dual of [262152, 262034, 19]-code), using
- net defined by OOA [i] based on linear OOA(4118, 29128, F4, 18, 18) (dual of [(29128, 18), 524186, 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.