MinT - Information on Result #1009597

Information on Result #1009597

Linear OOA(2⁶⁸, 28, F₂, 3, 32) (dual of [(28, 3), 16, 33]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2²⁷, 14, F₂, 3, 16) (dual of [(14, 3), 15, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,25P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2⁴¹, 14, F₂, 3, 32) (dual of [(14, 3), 1, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁴¹, 15, F₂, 3, 32) (dual of [(15, 3), 4, 33]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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