Information on Result #1215509
Digital (111, 128, 1048640)-net over F8, using (u, u+v)-construction based on
- digital (7, 15, 65)-net over F8, using
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) for nets [i] based on digital (0, 8, 65)-net over F64, using
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 0 and N(F) ≥ 65, using
- the rational function field F64(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 64)-sequence over F64, using
- base reduction for projective spaces (embedding PG(7,64) in PG(14,8)) for nets [i] based on digital (0, 8, 65)-net over F64, using
- digital (96, 113, 1048575)-net over F8, using
- net defined by OOA [i] based on linear OOA(8113, 1048575, F8, 17, 17) (dual of [(1048575, 17), 17825662, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(8113, 8388601, F8, 17) (dual of [8388601, 8388488, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(8113, 8388601, F8, 17) (dual of [8388601, 8388488, 18]-code), using
- net defined by OOA [i] based on linear OOA(8113, 1048575, F8, 17, 17) (dual of [(1048575, 17), 17825662, 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.