MinT - Information on Result #1009884

Information on Result #1009884

Linear OOA(2¹³⁵, 48, F₂, 3, 72) (dual of [(48, 3), 9, 73]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁶³, 24, F₂, 3, 36) (dual of [(24, 3), 9, 37]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁷, 12, F₂, 3, 18) (dual of [(12, 3), 9, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2³⁶, 12, F₂, 3, 36) (dual of [(12, 3), 0, 37]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
linear OOA(2⁷², 24, F₂, 3, 72) (dual of [(24, 3), 0, 73]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

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