Information on Result #1221265
Digital (40, 55, 2299)-net over F25, using (u, u+v)-construction based on
- digital (4, 11, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- digital (29, 44, 2233)-net over F25, using
- net defined by OOA [i] based on linear OOA(2544, 2233, F25, 15, 15) (dual of [(2233, 15), 33451, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2544, 15632, F25, 15) (dual of [15632, 15588, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- linear OA(2543, 15626, F25, 15) (dual of [15626, 15583, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(2537, 15626, F25, 13) (dual of [15626, 15589, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 256−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,7]) ⊂ C([0,6]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2544, 15633, F25, 15) (dual of [15633, 15589, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2544, 15632, F25, 15) (dual of [15632, 15588, 16]-code), using
- net defined by OOA [i] based on linear OOA(2544, 2233, F25, 15, 15) (dual of [(2233, 15), 33451, 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.