Information on Result #1221466
Digital (48, 68, 1588)-net over F25, using (u, u+v)-construction based on
- digital (0, 10, 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 (38, 58, 1562)-net over F25, using
- net defined by OOA [i] based on linear OOA(2558, 1562, F25, 20, 20) (dual of [(1562, 20), 31182, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(2558, 15620, F25, 20) (dual of [15620, 15562, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(2558, 15620, F25, 20) (dual of [15620, 15562, 21]-code), using
- net defined by OOA [i] based on linear OOA(2558, 1562, F25, 20, 20) (dual of [(1562, 20), 31182, 21]-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.