MinT - Information on Result #1204454

Information on Result #1204454

Digital (38, 49, 3486776)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁴⁹, 3486776, F₂₅₆, 15, 11) (dual of [(3486776, 15), 52301591, 12]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(256⁴⁹, 3486777, F₂₅₆, 5, 11) (dual of [(3486777, 5), 17433836, 12]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁵, 131337, F₂₅₆, 5, 3) (dual of [(131337, 5), 656680, 4]-NRT-code), using
    - appending 2 arbitrary columns [i] based on linear OOA(256⁵, 131337, F₂₅₆, 3, 3) (dual of [(131337, 3), 394006, 4]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁵, 131337, F₂₅₆, 2, 3) (dual of [(131337, 2), 262669, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁵, 131337, F₂₅₆, 3) (dual of [131337, 131332, 4]-code or 131337-cap in PG(4,256)), using
        large caps in PG(4,Â b) [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 s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (87, 98, 6973552)-net over F₁₆	[i]		Trace Code for Nets