MinT - Information on Result #1117464

Information on Result #1117464

Linear OOA(3²⁰³, 4194308, F₃, 5, 13) (dual of [(4194308, 5), 20971337, 14]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3⁷, 7, F₃, 5, 6) (dual of [(7, 5), 28, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,28P) [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(3¹⁹⁶, 4194301, F₃, 5, 13) (dual of [(4194301, 5), 20971309, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3¹⁹⁶, 8388602, F₃, 3, 13) (dual of [(8388602, 3), 25165610, 14]-NRT-code), using
  - trace code [i] based on linear OOA(9⁹⁸, 4194301, F₉, 3, 13) (dual of [(4194301, 3), 12582805, 14]-NRT-code), using
    - OOA 2-folding [i] based on linear OOA(9⁹⁸, 8388602, F₉, 2, 13) (dual of [(8388602, 2), 16777106, 14]-NRT-code), using
      - trace code [i] based on linear OOA(81⁴⁹, 4194301, F₈₁, 2, 13) (dual of [(4194301, 2), 8388553, 14]-NRT-code), using
        OOA 2-folding [i] based on linear OA(81⁴⁹, 8388602, F₈₁, 13) (dual of [8388602, 8388553, 14]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁴⁹, large, F₈₁, 13) (dual of [large, large−49, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: Constructive and linear.

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