MinT - Information on Result #1025262

Information on Result #1025262

Linear OOA(2²²¹, 77, F₂, 3, 119) (dual of [(77, 3), 10, 120]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 10, F₂, 3, 14) (dual of [(10, 3), 10, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁹¹, 67, F₂, 3, 104) (dual of [(67, 3), 10, 105]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁹¹, 71, F₂, 3, 104) (dual of [(71, 3), 22, 105]-NRT-code), using
  - 1 step truncation [i] based on linear OOA(2¹⁹², 72, F₂, 3, 105) (dual of [(72, 3), 24, 106]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹⁹², 72, F₂, 3, 107) (dual of [(72, 3), 24, 108]-NRT-code), using
      - concatenation of two NRT-codes [i] based on
        linear OA(16¹⁸, 24, F₁₆, 17) (dual of [24, 6, 18]-code), using
        extended algebraic-geometric code AG_e(F,6P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
        a function field by SÃ©mirat [i]
        linear OOA(2⁵, 3, F₂, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;4,2) [i]

Mode: Constructive and linear.

None.

None.