MinT - Information on Result #1228870

Information on Result #1228870

Digital (25, 40, 9877)-net over F₂₅₆, using (u,Â u+v)-construction based on

digital (4, 11, 515)-net over F₂₅₆, using
- net defined by OOA [i] based on linear OOA(256¹¹, 515, F₂₅₆, 7, 7) (dual of [(515, 7), 3594, 8]-NRT-code), using
  - appending kth column [i] based on linear OOA(256¹¹, 515, F₂₅₆, 6, 7) (dual of [(515, 6), 3079, 8]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(256³, 257, F₂₅₆, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(6;1539,256) [i]
      2. linear OOA(256⁸, 258, F₂₅₆, 6, 7) (dual of [(258, 6), 1540, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 8, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
digital (14, 29, 9362)-net over F₂₅₆, using
- net defined by OOA [i] based on linear OOA(256²⁹, 9362, F₂₅₆, 15, 15) (dual of [(9362, 15), 140401, 16]-NRT-code), using
  - OOA 7-folding and stacking with additional row [i] based on linear OA(256²⁹, 65535, F₂₅₆, 15) (dual of [65535, 65506, 16]-code), using
    - discarding factors / shortening the dual code based on linear OA(256²⁹, 65536, F₂₅₆, 15) (dual of [65536, 65507, 16]-code), using
      - an extension C_e(14) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

None.

None.