MinT - Information on Result #2451686

Information on Result #2451686

Linear OOA(9⁸⁷, 89, F₉, 2, 53) (dual of [(89, 2), 91, 54]-NRT-code), using strength reduction based on linear OOA(9⁸⁷, 89, F₉, 2, 54) (dual of [(89, 2), 91, 55]-NRT-code), using

constructionÂ X applied to AG(2;F,91P) âŠ‚ AG(2;F,107P) [i] based on
1. linear OOA(9⁷¹, 73, F₉, 2, 54) (dual of [(73, 2), 75, 55]-NRT-code), using algebraic-geometric NRT-code AG(2;F,91P) [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(9⁵⁵, 73, F₉, 2, 38) (dual of [(73, 2), 91, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,107P) [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.