Information on Result #1213884
Digital (123, 144, 39082)-net over F5, using (u, u+v)-construction based on
- digital (5, 15, 20)-net over F5, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- digital (108, 129, 39062)-net over F5, using
- net defined by OOA [i] based on linear OOA(5129, 39062, F5, 21, 21) (dual of [(39062, 21), 820173, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5129, 390621, F5, 21) (dual of [390621, 390492, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(5129, 390621, F5, 21) (dual of [390621, 390492, 22]-code), using
- net defined by OOA [i] based on linear OOA(5129, 39062, F5, 21, 21) (dual of [(39062, 21), 820173, 22]-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.