MinT - Information on Result #909562

Information on Result #909562

Linear OOA(4²²¹, 114, F₄, 2, 160) (dual of [(114, 2), 7, 161]-NRT-code), using juxtaposition based on

linear OOA(4⁷, 7, F₄, 2, 6) (dual of [(7, 2), 7, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁷, 9, F₄, 2, 6) (dual of [(9, 2), 11, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [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(4²⁰⁷, 107, F₄, 2, 153) (dual of [(107, 2), 7, 154]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰⁷, 108, F₄, 2, 153) (dual of [(108, 2), 9, 154]-NRT-code), using
  - 14 step truncation [i] based on linear OOA(4²²¹, 115, F₄, 2, 167) (dual of [(115, 2), 9, 168]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(64²⁰, 23, F₆₄, 20) (dual of [23, 3, 21]-code or 23-arc in PG(19,64)), using
        discarding factors / shortening the dual code based on linear OA(64²⁰, 64, F₆₄, 20) (dual of [64, 44, 21]-code or 64-arc in PG(19,64)), using
        Reedâ€“Solomon code RS(44,64) [i]
      2. linear OOA(4⁷, 5, F₄, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;3,4) [i]

Mode: Constructive and linear.

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