MinT - Information on Result #1080630

Information on Result #1080630

Linear OOA(2²²¹, 66, F₂, 4, 104) (dual of [(66, 4), 43, 105]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹¹, 33, F₂, 4, 52) (dual of [(33, 4), 41, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,79P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁰, 33, F₂, 4, 104) (dual of [(33, 4), 2, 105]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹³⁰, 33, F₂, 4, 106) (dual of [(33, 4), 2, 107]-NRT-code), using
  - OOA 2-folding [i] based on linear OOA(2¹³⁰, 66, F₂, 2, 106) (dual of [(66, 2), 2, 107]-NRT-code), using
    - strength reduction [i] based on linear OOA(2¹³⁰, 66, F₂, 2, 109) (dual of [(66, 2), 2, 110]-NRT-code), using
      - repeating each code word 22 times [i] based on linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [i]

Mode: Constructive and linear.

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