Information on Result #1222222
Digital (47, 61, 75958)-net over F27, using (u, u+v)-construction based on
- digital (1, 8, 38)-net over F27, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- net from sequence [i] based on digital (1, 37)-sequence over F27, using
- digital (39, 53, 75920)-net over F27, using
- net defined by OOA [i] based on linear OOA(2753, 75920, F27, 14, 14) (dual of [(75920, 14), 1062827, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(2753, 531440, F27, 14) (dual of [531440, 531387, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- discarding factors / shortening the dual code based on linear OA(2753, 531441, F27, 14) (dual of [531441, 531388, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(2753, 531440, F27, 14) (dual of [531440, 531387, 15]-code), using
- net defined by OOA [i] based on linear OOA(2753, 75920, F27, 14, 14) (dual of [(75920, 14), 1062827, 15]-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.