Information on Result #1231236
Digital (54, 69, 55882)-net over F25, using (u, u+v)-construction based on
- digital (5, 12, 78)-net over F25, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 2, 26)-net over F25, using
- digital (0, 3, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- digital (0, 7, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25 (see above)
- generalized (u, u+v)-construction [i] based on
- digital (42, 57, 55804)-net over F25, using
- net defined by OOA [i] based on linear OOA(2557, 55804, F25, 15, 15) (dual of [(55804, 15), 837003, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- OOA 7-folding and stacking with additional row [i] based on linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- net defined by OOA [i] based on linear OOA(2557, 55804, F25, 15, 15) (dual of [(55804, 15), 837003, 16]-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.