MinT - Information on Result #1010325

Information on Result #1010325

Linear OOA(2²³⁹, 83, F₂, 3, 126) (dual of [(83, 3), 10, 127]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹³, 41, F₂, 3, 63) (dual of [(41, 3), 10, 64]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶³, 21, F₂, 3, 63) (dual of [(21, 3), 0, 64]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹²⁶, 42, F₂, 3, 126) (dual of [(42, 3), 0, 127]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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