MinT - Information on Result #941476

Information on Result #941476

Linear OOA(9¹³¹, 130, F₉, 2, 68) (dual of [(130, 2), 129, 69]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(9⁴⁷, 64, F₉, 2, 34) (dual of [(64, 2), 81, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,93P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
  - a function field by GarcÃa and Quoos [i]
linear OOA(9⁸⁴, 66, F₉, 2, 68) (dual of [(66, 2), 48, 69]-NRT-code), using
- constructionÂ X applied to AG(2;F,57P) âŠ‚ AG(2;F,61P) [i] based on
  1. linear OOA(9⁸¹, 63, F₉, 2, 68) (dual of [(63, 2), 45, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64 (see above)
  2. linear OOA(9⁷⁷, 63, F₉, 2, 64) (dual of [(63, 2), 49, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64 (see above)
  3. linear OOA(9³, 3, F₉, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9³, 9, F₉, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;15,9) [i]

Mode: Constructive and linear.

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