MinT - Information on Result #2451797

Information on Result #2451797

Linear OOA(9⁹⁹, 89, F₉, 2, 65) (dual of [(89, 2), 79, 66]-NRT-code), using strength reduction based on linear OOA(9⁹⁹, 89, F₉, 2, 66) (dual of [(89, 2), 79, 67]-NRT-code), using

constructionÂ X applied to AG(2;F,79P) âŠ‚ AG(2;F,95P) [i] based on
1. linear OOA(9⁸³, 73, F₉, 2, 66) (dual of [(73, 2), 63, 67]-NRT-code), using algebraic-geometric NRT-code AG(2;F,79P) [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(9⁶⁷, 73, F₉, 2, 50) (dual of [(73, 2), 79, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [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.