MinT - Information on Result #1205697

Information on Result #1205697

Digital (89, 100, large)-net over F₁₆, using trace code for nets based on digital (39, 50, 5033159)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256⁵⁰, 5033159, F₂₅₆, 15, 11) (dual of [(5033159, 15), 75497335, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256⁵⁰, 5033160, F₂₅₆, 5, 11) (dual of [(5033160, 5), 25165750, 12]-NRT-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁶, 1677720, F₂₅₆, 5, 3) (dual of [(1677720, 5), 8388594, 4]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256⁶, large, F₂₅₆, 5, 3), using
        appending 2 arbitrary columns [i] based on linear OOA(256⁶, large, F₂₅₆, 3, 3), using
        appending kth column [i] based on linear OOA(256⁶, large, F₂₅₆, 2, 3), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁶, large, F₂₅₆, 3) (dual of [large, large−6, 4]-code), using
        product of projective cap with (hyper)oval [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
        ovoid in PG(3,Â 256) [i]
    2. linear OOA(256¹³, 1677720, F₂₅₆, 5, 5) (dual of [(1677720, 5), 8388587, 6]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(256¹³, 8355839, F₂₅₆, 5, 5) (dual of [(8355839, 5), 41779182, 6]-NRT-code), using
        OOA stacking with additional row [i] based on linear OOA(256¹³, 8355840, F₂₅₆, 2, 5) (dual of [(8355840, 2), 16711667, 6]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 2, 0) for arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 2, 0) (dual of [(32640, 2), 65280, 1]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 2, 1) (dual of [(32640, 2), 65279, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 2, 1) for arbitrarily large s, using
        appending 1 arbitrary column [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
        linear OOA(256¹, 32640, F₂₅₆, 2, 1) (dual of [(32640, 2), 65279, 2]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 2, 1) (dual of [(32640, 2), 65279, 2]-NRT-code) (see above)
        linear OOA(256³, 32640, F₂₅₆, 2, 2) (dual of [(32640, 2), 65277, 3]-NRT-code), using
        discarding factors / shortening the dual code 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, 2, 5) (dual of [(32640, 2), 65273, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁷, 65280, F₂₅₆, 5) (dual of [65280, 65273, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
    3. 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]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (90, 100, large)-net over F₁₆	[i]	t-Expansion
2	Digital (91, 100, large)-net over F₁₆	[i]
3	Digital (92, 100, large)-net over F₁₆	[i]
4	Digital (93, 100, large)-net over F₁₆	[i]
5	Digital (94, 100, large)-net over F₁₆	[i]
6	Digital (95, 100, large)-net over F₁₆	[i]
7	Digital (96, 100, large)-net over F₁₆	[i]
8	Digital (97, 100, large)-net over F₁₆	[i]
9	Digital (90, 101, large)-net over F₁₆	[i]	Net Duplication
10	Digital (91, 102, large)-net over F₁₆	[i]
11	Digital (92, 103, large)-net over F₁₆	[i]
12	Digital (93, 104, large)-net over F₁₆	[i]
13	Digital (94, 105, large)-net over F₁₆	[i]
14	Digital (95, 106, large)-net over F₁₆	[i]
15	Digital (96, 107, large)-net over F₁₆	[i]
16	Digital (97, 108, large)-net over F₁₆	[i]
17	Digital (98, 109, large)-net over F₁₆	[i]
18	Digital (99, 110, large)-net over F₁₆	[i]
19	Digital (100, 111, large)-net over F₁₆	[i]
20	Digital (101, 112, large)-net over F₁₆	[i]
21	Digital (102, 113, large)-net over F₁₆	[i]
22	Digital (103, 114, large)-net over F₁₆	[i]
23	Digital (104, 115, large)-net over F₁₆	[i]
24	Digital (105, 116, large)-net over F₁₆	[i]
25	Digital (106, 117, large)-net over F₁₆	[i]
26	Digital (107, 118, large)-net over F₁₆	[i]
27	Digital (108, 119, large)-net over F₁₆	[i]
28	Digital (89, 99, large)-net over F₁₆	[i]	m-Reduction
29	Digital (89, 98, large)-net over F₁₆	[i]
30	Digital (89, 97, large)-net over F₁₆	[i]
31	Digital (89, 96, large)-net over F₁₆	[i]
32	Digital (89, 95, large)-net over F₁₆	[i]
33	Digital (89, 94, large)-net over F₁₆	[i]
34	Digital (89, 93, large)-net over F₁₆	[i]
35	Digital (89, 92, large)-net over F₁₆	[i]