MinT - Information on Result #1010372

Information on Result #1010372

Linear OOA(2²⁶⁰, 89, F₂, 3, 138) (dual of [(89, 3), 7, 139]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹²², 43, F₂, 3, 69) (dual of [(43, 3), 7, 70]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁵³, 20, F₂, 3, 34) (dual of [(20, 3), 7, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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(2⁶⁹, 23, F₂, 3, 69) (dual of [(23, 3), 0, 70]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹³⁸, 46, F₂, 3, 138) (dual of [(46, 3), 0, 139]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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