Information on Result #3264172
Digital (102, 125, 95391)-net over F16, using 161 times duplication based on digital (101, 124, 95391)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (6, 17, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- digital (84, 107, 95326)-net over F16, using
- net defined by OOA [i] based on linear OOA(16107, 95326, F16, 23, 23) (dual of [(95326, 23), 2192391, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(16107, 1048587, F16, 23) (dual of [1048587, 1048480, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1696, 1048576, F16, 21) (dual of [1048576, 1048480, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(161, 11, F16, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- OOA 11-folding and stacking with additional row [i] based on linear OA(16107, 1048587, F16, 23) (dual of [1048587, 1048480, 24]-code), using
- net defined by OOA [i] based on linear OOA(16107, 95326, F16, 23, 23) (dual of [(95326, 23), 2192391, 24]-NRT-code), using
- digital (6, 17, 65)-net over F16, 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.