MinT - Information on Result #2514799

Information on Result #2514799

Linear OOA(9¹²⁴, 106, F₉, 2, 71) (dual of [(106, 2), 88, 72]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(9¹²², 105, F₉, 2, 71) (dual of [(105, 2), 88, 72]-NRT-code), using

constructionÂ X applied to AG(2;F,74P) âŠ‚ AG(2;F,104P) [i] based on
1. linear OOA(9⁸⁸, 73, F₉, 2, 71) (dual of [(73, 2), 58, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,74P) [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(9⁵⁸, 73, F₉, 2, 41) (dual of [(73, 2), 88, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,104P) [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.