MinT - Information on Result #1010370

Information on Result #1010370

Linear OOA(2²⁵⁸, 89, F₂, 3, 137) (dual of [(89, 3), 9, 138]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹²¹, 43, F₂, 3, 68) (dual of [(43, 3), 8, 69]-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(2⁶⁸, 23, F₂, 3, 68) (dual of [(23, 3), 1, 69]-NRT-code), using
    - dual of repetition NRT-code with length 23 [i]
linear OOA(2¹³⁷, 46, F₂, 3, 137) (dual of [(46, 3), 1, 138]-NRT-code), using
- dual of repetition NRT-code with length 46 [i]

Mode: Constructive and linear.

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