MinT - Information on Result #1025059

Information on Result #1025059

Linear OOA(2²⁶⁰, 92, F₂, 3, 120) (dual of [(92, 3), 16, 121]-NRT-code), using juxtaposition based on

linear OOA(2³⁵, 17, F₂, 3, 20) (dual of [(17, 3), 16, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,30P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁹, 75, F₂, 3, 99) (dual of [(75, 3), 16, 100]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰⁹, 85, F₂, 3, 99) (dual of [(85, 3), 46, 100]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(2²⁰⁶, 84, F₂, 3, 99) (dual of [(84, 3), 46, 100]-NRT-code), using
    - concatenation of two NRT-codes [i] based on
      1. linear OOA(4⁶¹, 28, F₄, 3, 49) (dual of [(28, 3), 23, 50]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, using
        an explicitly constructive algebraic function field [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.

None.

None.