Information on Result #1223163
Digital (77, 107, 1394)-net over F27, using (u, u+v)-construction based on
- digital (7, 22, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- digital (55, 85, 1312)-net over F27, using
- net defined by OOA [i] based on linear OOA(2785, 1312, F27, 30, 30) (dual of [(1312, 30), 39275, 31]-NRT-code), using
- OA 15-folding and stacking [i] based on linear OA(2785, 19680, F27, 30) (dual of [19680, 19595, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(2785, 19683, F27, 30) (dual of [19683, 19598, 31]-code), using
- OA 15-folding and stacking [i] based on linear OA(2785, 19680, F27, 30) (dual of [19680, 19595, 31]-code), using
- net defined by OOA [i] based on linear OOA(2785, 1312, F27, 30, 30) (dual of [(1312, 30), 39275, 31]-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.