MinT - Information on Result #2514048

Information on Result #2514048

Linear OOA(9⁸⁰, 90, F₉, 2, 45) (dual of [(90, 2), 100, 46]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9⁷⁸, 89, F₉, 2, 45) (dual of [(89, 2), 100, 46]-NRT-code), using

constructionÂ X applied to AG(2;F,100P) âŠ‚ AG(2;F,116P) [i] based on
1. linear OOA(9⁶², 73, F₉, 2, 45) (dual of [(73, 2), 84, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [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(9⁴⁶, 73, F₉, 2, 29) (dual of [(73, 2), 100, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,116P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9¹⁶, 16, F₉, 2, 15) (dual of [(16, 2), 16, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,16P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
    - a function field by GarcÃa and Quoos [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.