MinT - Information on Result #1129270

Information on Result #1129270

Linear OOA(3²⁵⁰, 81, F₃, 5, 120) (dual of [(81, 5), 155, 121]-NRT-code), using constructionÂ X based on

linear OOA(3²²⁶, 72, F₃, 5, 120) (dual of [(72, 5), 134, 121]-NRT-code), using OOA from sequence [i] based on digital (106, 72)-sequence over F₃, using
- base reduction for sequences [i] based on digital (17, 72)-sequence over F₉, using
  - s-reduction based on digital (17, 73)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
      - a function field by GarcÃa and Quoos [i]
linear OOA(3²⁰⁴, 72, F₃, 5, 98) (dual of [(72, 5), 156, 99]-NRT-code), using OOA from sequence [i] based on digital (106, 72)-sequence over F₃ (see above)
linear OOA(3²⁴, 9, F₃, 5, 21) (dual of [(9, 5), 21, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²⁴, 10, F₃, 5, 21) (dual of [(10, 5), 26, 22]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,28P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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