MinT - Information on Result #1228842

Information on Result #1228842

Digital (24, 38, 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 (13, 27, 9362)-net over F₂₅₆, using
- net defined by OOA [i] based on linear OOA(256²⁷, 9362, F₂₅₆, 14, 14) (dual of [(9362, 14), 131041, 15]-NRT-code), using
  - OA 7-folding and stacking [i] based on linear OA(256²⁷, 65534, F₂₅₆, 14) (dual of [65534, 65507, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(256²⁷, 65536, F₂₅₆, 14) (dual of [65536, 65509, 15]-code), using
      - an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

Mode: Constructive and linear.

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