MinT - Information on Result #1025066

Information on Result #1025066

Linear OOA(2²⁶⁰, 92, F₂, 3, 121) (dual of [(92, 3), 16, 122]-NRT-code), using juxtaposition based on

linear OOA(2⁴⁴, 20, F₂, 3, 25) (dual of [(20, 3), 16, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁰, 72, F₂, 3, 95) (dual of [(72, 3), 16, 96]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2²⁰⁰, 216, F₂, 95) (dual of [216, 16, 96]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(4⁶⁴, 72, F₄, 47) (dual of [72, 8, 48]-code), using
      - BCH codes lengthened with UEP codes [i]
    2. linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]

Mode: Constructive and linear.

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