MinT - Best Known (172−7, 172, s)-Nets in Base 4

Best Known (172−7, 172, s)-Nets in Base 4

(172−7, 172, large)-Net over F₄ — Constructive and digital

Digital (165, 172, large)-net over F₄, using

4 times m-reduction [i] based on digital (165, 176, large)-net over F₄, using
- trace code for nets [i] based on digital (33, 44, 3355439)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁴⁴, 3355439, F₂₅₆, 15, 11) (dual of [(3355439, 15), 50331541, 12]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(256⁴⁴, 3355440, F₂₅₆, 5, 11) (dual of [(3355440, 5), 16777156, 12]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(256¹³, 8355840, F₂₅₆, 5, 5) (dual of [(8355840, 5), 41779187, 6]-NRT-code), using
        appending kth column [i] based on linear OOA(256¹³, 8355840, F₂₅₆, 4, 5) (dual of [(8355840, 4), 33423347, 6]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 4, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 4, 1) with arbitrarily large s, using
        appending 3 arbitrary columns [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code) (see above)
        linear OOA(256³, 32640, F₂₅₆, 4, 2) (dual of [(32640, 4), 130557, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code), using
        appending 2 arbitrary columns [i] based on linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
        appending kth column [i] based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
        linear OOA(256⁷, 32640, F₂₅₆, 4, 5) (dual of [(32640, 4), 130553, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
        linear OOA(256³¹, 1677720, F₂₅₆, 5, 11) (dual of [(1677720, 5), 8388569, 12]-NRT-code), using
        OOA 5-folding [i] based on linear OA(256³¹, 8388600, F₂₅₆, 11) (dual of [8388600, 8388569, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

(172−7, 172, large)-Net in Base 4 — Upper bound on s

There is no (165, 172, large)-net in base 4, because

5 times m-reduction [i] would yield (165, 167, large)-net in base 4, but
- mutually orthogonal hypercube bound [i]

Best Known (172−7, 172, s)-Nets in Base 4

(172−7, 172, large)-Net over F4 — Constructive and digital

(172−7, 172, large)-Net in Base 4 — Upper bound on s

(172−7, 172, large)-Net over F₄ — Constructive and digital