MinT - Information on Result #1118719

Information on Result #1118719

Linear OOA(256⁵⁶, 4194559, F₂₅₆, 5, 11) (dual of [(4194559, 5), 20972739, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256⁶, 258, F₂₅₆, 5, 5) (dual of [(258, 5), 1284, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(256⁶, 258, F₂₅₆, 4, 5) (dual of [(258, 4), 1026, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 6, 258)-net over F₂₅₆, using
    - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
      - Niederreiter sequence [i]
linear OOA(256⁵⁰, 4194301, F₂₅₆, 5, 11) (dual of [(4194301, 5), 20971455, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(256⁵⁰, 8388602, F₂₅₆, 3, 11) (dual of [(8388602, 3), 25165756, 12]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(256⁵⁰, large, F₂₅₆, 3, 11), using
    - generalized (u,Â u+v)-construction [i] based on
      1. linear OOA(256⁶, 2796201, F₂₅₆, 3, 3) (dual of [(2796201, 3), 8388597, 4]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁶, 8388602, F₂₅₆, 3, 3) (dual of [(8388602, 3), 25165800, 4]-NRT-code), using
        OOA stacking with additional row [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, 2796201, F₂₅₆, 3, 5) (dual of [(2796201, 3), 8388590, 6]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹³, 8355839, F₂₅₆, 3, 5) (dual of [(8355839, 3), 25067504, 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, 2796201, F₂₅₆, 3, 11) (dual of [(2796201, 3), 8388572, 12]-NRT-code), using
        OOA 3-folding [i] 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.

Other Results with Identical Parameters

None.

Depending Results

None.