MinT - Information on Result #910632

Information on Result #910632

Linear OOA(9¹⁴⁵, 75, F₉, 2, 129) (dual of [(75, 2), 5, 130]-NRT-code), using juxtaposition based on

linear OOA(9³³, 19, F₉, 2, 31) (dual of [(19, 2), 5, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9³³, 20, F₉, 2, 31) (dual of [(20, 2), 7, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [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.

None.

None.