Information on Result #1213986
Digital (111, 136, 1319)-net over F5, using (u, u+v)-construction based on
- digital (4, 16, 18)-net over F5, using
- net from sequence [i] based on digital (4, 17)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 4 and N(F) ≥ 18, using
- net from sequence [i] based on digital (4, 17)-sequence over F5, using
- digital (95, 120, 1301)-net over F5, using
- net defined by OOA [i] based on linear OOA(5120, 1301, F5, 25, 25) (dual of [(1301, 25), 32405, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(5120, 15613, F5, 25) (dual of [15613, 15493, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, 15624, F5, 25) (dual of [15624, 15504, 26]-code), using
- 1 times truncation [i] based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, 15624, F5, 25) (dual of [15624, 15504, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(5120, 15613, F5, 25) (dual of [15613, 15493, 26]-code), using
- net defined by OOA [i] based on linear OOA(5120, 1301, F5, 25, 25) (dual of [(1301, 25), 32405, 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.