MinT - Information on Result #1117248

Information on Result #1117248

Linear OOA(3¹⁷⁷, 4194404, F₃, 5, 11) (dual of [(4194404, 5), 20971843, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹³, 103, F₃, 5, 5) (dual of [(103, 5), 502, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(3¹³, 103, F₃, 4, 5) (dual of [(103, 4), 399, 6]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 13, 103)-net over F₃, using
    - linear code embedding found in a computer search [i]
linear OOA(3¹⁶⁴, 4194301, F₃, 5, 11) (dual of [(4194301, 5), 20971341, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3¹⁶⁴, 8388602, F₃, 3, 11) (dual of [(8388602, 3), 25165642, 12]-NRT-code), using
  - trace code [i] based on linear OOA(9⁸², 4194301, F₉, 3, 11) (dual of [(4194301, 3), 12582821, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(9⁸², 8388602, F₉, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code), using
      - trace code [i] based on linear OOA(81⁴¹, 4194301, F₈₁, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81⁴¹, 8388602, F₈₁, 11) (dual of [8388602, 8388561, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁴¹, large, F₈₁, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

Mode: Constructive and linear.

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