Information on Result #1217624
Digital (112, 129, 1048585)-net over F9, using (u, u+v)-construction based on
- digital (0, 8, 10)-net over F9, using
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 0 and N(F) ≥ 10, using
- the rational function field F9(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 9)-sequence over F9, using
- digital (104, 121, 1048575)-net over F9, using
- net defined by OOA [i] based on linear OOA(9121, 1048575, F9, 17, 17) (dual of [(1048575, 17), 17825654, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(9121, 8388601, F9, 17) (dual of [8388601, 8388480, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(9121, large, F9, 17) (dual of [large, large−121, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(9121, large, F9, 17) (dual of [large, large−121, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(9121, 8388601, F9, 17) (dual of [8388601, 8388480, 18]-code), using
- net defined by OOA [i] based on linear OOA(9121, 1048575, F9, 17, 17) (dual of [(1048575, 17), 17825654, 18]-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.