MinT - Information on Result #1117633

Information on Result #1117633

Linear OOA(3²³⁹, 4194316, F₃, 5, 15) (dual of [(4194316, 5), 20971341, 16]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹¹, 15, F₃, 5, 7) (dual of [(15, 5), 64, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 11, 15)-net over F₃, using
  - linear code embedding found in a computer search [i]
linear OOA(3²²⁸, 4194301, F₃, 5, 15) (dual of [(4194301, 5), 20971277, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3²²⁸, 8388602, F₃, 3, 15) (dual of [(8388602, 3), 25165578, 16]-NRT-code), using
  - trace code [i] based on linear OOA(9¹¹⁴, 4194301, F₉, 3, 15) (dual of [(4194301, 3), 12582789, 16]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(9¹¹⁴, 8388602, F₉, 2, 15) (dual of [(8388602, 2), 16777090, 16]-NRT-code), using
      - trace code [i] based on linear OOA(81⁵⁷, 4194301, F₈₁, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81⁵⁷, 8388602, F₈₁, 15) (dual of [8388602, 8388545, 16]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁵⁷, large, F₈₁, 15) (dual of [large, large−57, 16]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,7], and minimum distance dÂ â‰¥ |{−7,−6,…,7}|+1Â =Â 16 (BCH-bound) [i]

Mode: Constructive and linear.

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