MinT - Information on Result #1206065

Information on Result #1206065

Digital (244, 258, 2398786)-net over F₂, using (u,Â u+v)-construction based on

digital (58, 65, 2097150)-net over F₂, using
- net defined by OOA [i] based on linear OOA(2⁶⁵, 2097150, F₂, 7, 7) (dual of [(2097150, 7), 14679985, 8]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(2⁶⁵, 2097151, F₂, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
    - OOAs constructed from BCH codes [i]
digital (179, 193, 1199393)-net over F₂, using
- (u,Â u+v)-construction [i] based on
  1. digital (25, 32, 1022)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2³², 1022, F₂, 7, 7) (dual of [(1022, 7), 7122, 8]-NRT-code), using
      - OOA stacking with additional row [i] based on linear OOA(2³², 1023, F₂, 3, 7) (dual of [(1023, 3), 3037, 8]-NRT-code), using
        OOAs constructed from BCH codes [i]
  2. digital (147, 161, 1198371)-net over F₂, using
    - net defined by OOA [i] based on linear OOA(2¹⁶¹, 1198371, F₂, 14, 14) (dual of [(1198371, 14), 16777033, 15]-NRT-code), using
      - OA 7-folding and stacking [i] based on linear OA(2¹⁶¹, 8388597, F₂, 14) (dual of [8388597, 8388436, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(2¹⁶¹, large, F₂, 14) (dual of [large, large−161, 15]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

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