MinT - Information on Result #2514738

Information on Result #2514738

Linear OOA(9¹²⁰, 106, F₉, 2, 67) (dual of [(106, 2), 92, 68]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9¹¹⁸, 105, F₉, 2, 67) (dual of [(105, 2), 92, 68]-NRT-code), using

constructionÂ X applied to AG(2;F,78P) âŠ‚ AG(2;F,108P) [i] based on
1. linear OOA(9⁸⁴, 73, F₉, 2, 67) (dual of [(73, 2), 62, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,78P) [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(9⁵⁴, 73, F₉, 2, 37) (dual of [(73, 2), 92, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
3. linear OOA(9³⁴, 32, F₉, 2, 29) (dual of [(32, 2), 30, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,34P) [i] based on function field F/F₉ with g(F) = 5 and N(F) ≥ 32, 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.