MinT - Information on Result #2514653

Information on Result #2514653

Linear OOA(9¹¹¹, 102, F₉, 2, 63) (dual of [(102, 2), 93, 64]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9¹⁰⁹, 101, F₉, 2, 63) (dual of [(101, 2), 93, 64]-NRT-code), using

constructionÂ X applied to AG(2;F,82P) âŠ‚ AG(2;F,109P) [i] based on
1. linear OOA(9⁸⁰, 73, F₉, 2, 63) (dual of [(73, 2), 66, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,82P) [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(9⁵³, 73, F₉, 2, 36) (dual of [(73, 2), 93, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,109P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9²⁹, 28, F₉, 2, 26) (dual of [(28, 2), 27, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,29P) [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.