MinT - Information on Result #909508

Information on Result #909508

Linear OOA(4²²², 115, F₄, 2, 157) (dual of [(115, 2), 8, 158]-NRT-code), using juxtaposition based on

linear OOA(4⁸, 8, F₄, 2, 7) (dual of [(8, 2), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁸, 9, F₄, 2, 7) (dual of [(9, 2), 10, 8]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [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(4²⁰⁶, 107, F₄, 2, 149) (dual of [(107, 2), 8, 150]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰⁶, 109, F₄, 2, 149) (dual of [(109, 2), 12, 150]-NRT-code), using
  - 2 step truncation [i] based on linear OOA(4²⁰⁸, 110, F₄, 2, 151) (dual of [(110, 2), 12, 152]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OA(64¹⁸, 22, F₆₄, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
        discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
        Reedâ€“Solomon code RS(46,64) [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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