Information on Result #1216106
Digital (130, 161, 2230)-net over F8, using (u, u+v)-construction based on
- digital (10, 25, 46)-net over F8, using
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 9, N(F) = 45, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (10, 45)-sequence over F8, using
- digital (105, 136, 2184)-net over F8, using
- net defined by OOA [i] based on linear OOA(8136, 2184, F8, 31, 31) (dual of [(2184, 31), 67568, 32]-NRT-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(8136, 32761, F8, 31) (dual of [32761, 32625, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- discarding factors / shortening the dual code based on linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using
- OOA 15-folding and stacking with additional row [i] based on linear OA(8136, 32761, F8, 31) (dual of [32761, 32625, 32]-code), using
- net defined by OOA [i] based on linear OOA(8136, 2184, F8, 31, 31) (dual of [(2184, 31), 67568, 32]-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.