MinT - Information on Result #1116934

Information on Result #1116934

Linear OOA(2²⁵¹, 62, F₂, 5, 117) (dual of [(62, 5), 59, 118]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁹⁷, 33, F₂, 5, 58) (dual of [(33, 5), 68, 59]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,106P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁵⁴, 31, F₂, 5, 117) (dual of [(31, 5), 1, 118]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁵⁴, 32, F₂, 5, 117) (dual of [(32, 5), 6, 118]-NRT-code), using
  - strength reduction [i] based on linear OOA(2¹⁵⁴, 32, F₂, 5, 123) (dual of [(32, 5), 6, 124]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2³⁴, 8, F₂, 5, 30) (dual of [(8, 5), 6, 31]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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