MinT - Information on Result #1175374

Information on Result #1175374

Linear OOA(2¹²⁵, 1677734, F₂, 8, 11) (dual of [(1677734, 8), 13421747, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹, 14, F₂, 8, 5) (dual of [(14, 8), 103, 6]-NRT-code), using
- appending 3 arbitrary columns [i] based on linear OOA(2⁹, 14, F₂, 5, 5) (dual of [(14, 5), 61, 6]-NRT-code), using
  - appending kth column [i] based on linear OOA(2⁹, 14, F₂, 4, 5) (dual of [(14, 4), 47, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 9, 14)-net over F₂, using
      - linear code embedding found in a computer search [i]
linear OOA(2¹¹⁶, 1677720, F₂, 8, 11) (dual of [(1677720, 8), 13421644, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(2¹¹⁶, 8388601, F₂, 11) (dual of [8388601, 8388485, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(2¹¹⁶, large, F₂, 11) (dual of [large, large−116, 12]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: Constructive and linear.

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