MinT - Information on Result #1010032

Information on Result #1010032

Linear OOA(2¹⁶³, 58, F₂, 3, 87) (dual of [(58, 3), 11, 88]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁶, 29, F₂, 3, 43) (dual of [(29, 3), 11, 44]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2³², 14, F₂, 3, 21) (dual of [(14, 3), 10, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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(2⁴⁴, 15, F₂, 3, 43) (dual of [(15, 3), 1, 44]-NRT-code), using
    - strength reduction [i] based on linear OOA(2⁴⁴, 15, F₂, 3, 44) (dual of [(15, 3), 1, 45]-NRT-code), using
      - dual of repetition NRT-code with length 15 [i]
linear OOA(2⁸⁷, 29, F₂, 3, 87) (dual of [(29, 3), 0, 88]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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