MinT - Information on Result #1010364

Information on Result #1010364

Linear OOA(2²⁵³, 86, F₂, 3, 135) (dual of [(86, 3), 5, 136]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹¹⁶, 40, F₂, 3, 67) (dual of [(40, 3), 4, 68]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁸, 17, F₂, 3, 33) (dual of [(17, 3), 3, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶⁸, 23, F₂, 3, 67) (dual of [(23, 3), 1, 68]-NRT-code), using
    - strength reduction [i] based on 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, 135) (dual of [(46, 3), 1, 136]-NRT-code), using
- strength reduction [i] based on 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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