MinT - Information on Result #1009955

Information on Result #1009955

Linear OOA(2¹⁴⁵, 51, F₂, 3, 78) (dual of [(51, 3), 8, 79]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁷, 25, F₂, 3, 39) (dual of [(25, 3), 8, 40]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁸, 12, F₂, 3, 19) (dual of [(12, 3), 8, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁹, 13, F₂, 3, 39) (dual of [(13, 3), 0, 40]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁷⁸, 26, F₂, 3, 78) (dual of [(26, 3), 0, 79]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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