MinT - Information on Result #987364

Information on Result #987364

Linear OOA(9¹⁰⁹, 49, F₉, 3, 66) (dual of [(49, 3), 38, 67]-NRT-code), using OOA 2-folding based on linear OOA(9¹⁰⁹, 98, F₉, 2, 66) (dual of [(98, 2), 87, 67]-NRT-code), using

constructionÂ X applied to AG(2;F,79P) âŠ‚ AG(2;F,103P) [i] based on
1. linear OOA(9⁸³, 73, F₉, 2, 66) (dual of [(73, 2), 63, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
  - a function field by GarcÃa and Quoos [i]
2. linear OOA(9⁵⁹, 73, F₉, 2, 42) (dual of [(73, 2), 87, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,103P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9²⁶, 25, F₉, 2, 23) (dual of [(25, 2), 24, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9²⁶, 28, F₉, 2, 23) (dual of [(28, 2), 30, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,32P) [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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.