Information on Result #1229524
Digital (59, 65, 6080683)-net over F5, using generalized (u, u+v)-construction based on
- digital (7, 9, 488281)-net over F5, using
- digital (12, 15, 2796201)-net over F5, using
- s-reduction based on digital (12, 15, 3050326)-net over F5, using
- net defined by OOA [i] based on linear OOA(515, 3050326, F5, 3, 3) (dual of [(3050326, 3), 9150963, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(515, 3050326, F5, 2, 3) (dual of [(3050326, 2), 6100637, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(515, 3050326, F5, 3) (dual of [3050326, 3050311, 4]-code or 3050326-cap in PG(14,5)), using
- appending kth column [i] based on linear OOA(515, 3050326, F5, 2, 3) (dual of [(3050326, 2), 6100637, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(515, 3050326, F5, 3, 3) (dual of [(3050326, 3), 9150963, 4]-NRT-code), using
- s-reduction based on digital (12, 15, 3050326)-net over F5, using
- digital (35, 41, 2796201)-net over F5, using
- net defined by OOA [i] based on linear OOA(541, 2796201, F5, 6, 6) (dual of [(2796201, 6), 16777165, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- net defined by OOA [i] based on linear OOA(541, 2796201, F5, 6, 6) (dual of [(2796201, 6), 16777165, 7]-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.