MinT - Information on Result #909476

Information on Result #909476

Linear OOA(4²²¹, 115, F₄, 2, 152) (dual of [(115, 2), 9, 153]-NRT-code), using juxtaposition based on

linear OOA(4⁹, 9, F₄, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [i]
linear OOA(4²⁰³, 106, F₄, 2, 143) (dual of [(106, 2), 9, 144]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰³, 108, F₄, 2, 143) (dual of [(108, 2), 13, 144]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(4²⁰⁶, 110, F₄, 2, 146) (dual of [(110, 2), 14, 147]-NRT-code), using
    - strength reduction [i] based on linear OOA(4²⁰⁶, 110, F₄, 2, 147) (dual of [(110, 2), 14, 148]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OOA(16³⁷, 22, F₁₆, 2, 36) (dual of [(22, 2), 7, 37]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(16³⁷, 24, F₁₆, 2, 36) (dual of [(24, 2), 11, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
        linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]

Mode: Constructive and linear.

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