Information on Result #1205620
Digital (37, 44, 5592914)-net over F16, using trace code for nets based on digital (15, 22, 2796457)-net over F256, using
- net defined by OOA [i] based on linear OOA(25622, 2796457, F256, 7, 7) (dual of [(2796457, 7), 19575177, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25622, 2796457, F256, 6, 7) (dual of [(2796457, 6), 16778720, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25622, 2796458, F256, 3, 7) (dual of [(2796458, 3), 8389352, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25622, 2796458, F256, 3, 7) (dual of [(2796458, 3), 8389352, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25622, 2796457, F256, 6, 7) (dual of [(2796457, 6), 16778720, 8]-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.