MinT - Information on Result #1010261

Information on Result #1010261

Linear OOA(2²²⁰, 77, F₂, 3, 114) (dual of [(77, 3), 11, 115]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰⁴, 38, F₂, 3, 57) (dual of [(38, 3), 10, 58]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁴⁷, 20, F₂, 3, 28) (dual of [(20, 3), 13, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,31P) [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(2⁵⁷, 19, F₂, 3, 57) (dual of [(19, 3), 0, 58]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2¹¹⁶, 39, F₂, 3, 114) (dual of [(39, 3), 1, 115]-NRT-code), using
- strength reduction [i] based on linear OOA(2¹¹⁶, 39, F₂, 3, 116) (dual of [(39, 3), 1, 117]-NRT-code), using
  - dual of repetition NRT-code with length 39 [i]

Mode: Constructive and linear.

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