MinT - Information on Result #1009968

Information on Result #1009968

Linear OOA(2¹⁴⁹, 53, F₂, 3, 79) (dual of [(53, 3), 10, 80]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶⁹, 26, F₂, 3, 39) (dual of [(26, 3), 9, 40]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³⁰, 14, F₂, 3, 19) (dual of [(14, 3), 12, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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(2⁸⁰, 27, F₂, 3, 79) (dual of [(27, 3), 1, 80]-NRT-code), using
- strength reduction [i] based on linear OOA(2⁸⁰, 27, F₂, 3, 80) (dual of [(27, 3), 1, 81]-NRT-code), using
  - dual of repetition NRT-code with length 27 [i]

Mode: Constructive and linear.

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