MinT - Information on Result #1143672

Information on Result #1143672

Linear OOA(2²⁴⁴, 2796268, F₂, 6, 15) (dual of [(2796268, 6), 16777364, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁵, 2097150, F₂, 6, 7) (dual of [(2097150, 6), 12582835, 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]
linear OOA(2¹⁷⁹, 1398134, F₂, 6, 15) (dual of [(1398134, 6), 8388625, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2¹⁷, 34, F₂, 6, 7) (dual of [(34, 6), 187, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (10, 17, 34)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2¹⁶², 1398100, F₂, 6, 15) (dual of [(1398100, 6), 8388438, 16]-NRT-code), using
    - OOA 6-folding [i] based on linear OA(2¹⁶², 8388600, F₂, 15) (dual of [8388600, 8388438, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹⁶², large, F₂, 15) (dual of [large, large−162, 16]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 8388607Â = 2²³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive and linear.

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