MinT - Information on Result #910457

Information on Result #910457

Linear OOA(8⁶⁹, 37, F₈, 2, 61) (dual of [(37, 2), 5, 62]-NRT-code), using juxtaposition based on

linear OOA(8²¹, 13, F₈, 2, 20) (dual of [(13, 2), 5, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²¹, 14, F₈, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OOA(8⁴³, 24, F₈, 2, 40) (dual of [(24, 2), 5, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
  - the Klein quartic over F₈ [i]

Mode: Constructive and linear.

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