MinT - Information on Result #1117546

Information on Result #1117546

Linear OOA(3²²⁰, 4194308, F₃, 5, 14) (dual of [(4194308, 5), 20971320, 15]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁸, 7, F₃, 5, 7) (dual of [(7, 5), 27, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,27P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3²¹², 4194301, F₃, 5, 14) (dual of [(4194301, 5), 20971293, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3²¹², 8388602, F₃, 3, 14) (dual of [(8388602, 3), 25165594, 15]-NRT-code), using
  - trace code [i] based on linear OOA(9¹⁰⁶, 4194301, F₉, 3, 14) (dual of [(4194301, 3), 12582797, 15]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(9¹⁰⁶, 8388602, F₉, 2, 14) (dual of [(8388602, 2), 16777098, 15]-NRT-code), using
      - trace code [i] based on linear OOA(81⁵³, 4194301, F₈₁, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81⁵³, 8388602, F₈₁, 14) (dual of [8388602, 8388549, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁵³, large, F₈₁, 14) (dual of [large, large−53, 15]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

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