Information on Result #1221597
Digital (59, 84, 1327)-net over F25, using (u, u+v)-construction based on
- digital (0, 12, 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 (47, 72, 1301)-net over F25, using
- net defined by OOA [i] based on linear OOA(2572, 1301, F25, 25, 25) (dual of [(1301, 25), 32453, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2572, 15613, F25, 25) (dual of [15613, 15541, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(2572, 15613, F25, 25) (dual of [15613, 15541, 26]-code), using
- net defined by OOA [i] based on linear OOA(2572, 1301, F25, 25, 25) (dual of [(1301, 25), 32453, 26]-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.