Information on Result #1215212
Digital (47, 59, 5479)-net over F8, using (u, u+v)-construction based on
- digital (2, 8, 17)-net over F8, using
- net from sequence [i] based on digital (2, 16)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- net from sequence [i] based on digital (2, 16)-sequence over F8, using
- digital (39, 51, 5462)-net over F8, using
- net defined by OOA [i] based on linear OOA(851, 5462, F8, 12, 12) (dual of [(5462, 12), 65493, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(851, 32772, F8, 12) (dual of [32772, 32721, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(851, 32773, F8, 12) (dual of [32773, 32722, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(851, 32773, F8, 12) (dual of [32773, 32722, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(851, 32772, F8, 12) (dual of [32772, 32721, 13]-code), using
- net defined by OOA [i] based on linear OOA(851, 5462, F8, 12, 12) (dual of [(5462, 12), 65493, 13]-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.