MinT - Information on Result #910630

Information on Result #910630

Linear OOA(9¹⁴³, 74, F₉, 2, 127) (dual of [(74, 2), 5, 128]-NRT-code), using juxtaposition based on

linear OOA(9³¹, 18, F₉, 2, 29) (dual of [(18, 2), 5, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9³¹, 20, F₉, 2, 29) (dual of [(20, 2), 9, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₉ with g(F) = 2 and N(F) ≥ 20, using
    - a function field by GarcÃa and Quoos [i]
linear OOA(9¹⁰⁷, 56, F₉, 2, 97) (dual of [(56, 2), 5, 98]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(9⁵¹, 28, F₉, 2, 48) (dual of [(28, 2), 5, 49]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [i]

Mode: Constructive and linear.

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