MinT - Information on Result #909507

Information on Result #909507

Linear OOA(4²²⁰, 114, F₄, 2, 155) (dual of [(114, 2), 8, 156]-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(4²⁰⁴, 106, F₄, 2, 147) (dual of [(106, 2), 8, 148]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4²⁰⁴, 108, F₄, 2, 147) (dual of [(108, 2), 12, 148]-NRT-code), using
  - 4 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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