MinT - Information on Result #1175484

Information on Result #1175484

Linear OOA(2²³¹, 2797220, F₂, 8, 12) (dual of [(2797220, 8), 22377529, 13]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁴, 2097149, F₂, 8, 6) (dual of [(2097149, 8), 16777128, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2⁶⁴, 2097150, F₂, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
  - 1 step truncation [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]
linear OOA(2¹⁶⁷, 1398610, F₂, 8, 12) (dual of [(1398610, 8), 11188713, 13]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁹, 510, F₂, 8, 6) (dual of [(510, 8), 4051, 7]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(2²⁹, 511, F₂, 3, 6) (dual of [(511, 3), 1504, 7]-NRT-code), using
      - strength reduction [i] based on linear OOA(2²⁹, 511, F₂, 3, 7) (dual of [(511, 3), 1504, 8]-NRT-code), using
        OOAs constructed from BCH codes [i]
  2. linear OOA(2¹³⁸, 1398100, F₂, 8, 12) (dual of [(1398100, 8), 11184662, 13]-NRT-code), using
    - OA 6-folding and stacking [i] based on linear OA(2¹³⁸, 8388600, F₂, 12) (dual of [8388600, 8388462, 13]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹³⁸, large, F₂, 12) (dual of [large, large−138, 13]-code), using
        the primitive narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [1,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

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