MinT - Information on Result #2511548

Information on Result #2511548

Linear OOA(8¹⁷², 132, F₈, 2, 96) (dual of [(132, 2), 92, 97]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8¹⁷⁰, 131, F₈, 2, 96) (dual of [(131, 2), 92, 97]-NRT-code), using

constructionÂ X applied to AG(2;F,97P) âŠ‚ AG(2;F,128P) [i] based on
1. linear OOA(8¹³³, 97, F₈, 2, 96) (dual of [(97, 2), 61, 97]-NRT-code), using algebraic-geometric NRT-code AG(2;F,97P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98, using
  - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8¹⁰², 97, F₈, 2, 65) (dual of [(97, 2), 92, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,128P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8³⁷, 34, F₈, 2, 30) (dual of [(34, 2), 31, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,37P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, using
    - a function field by SÃ©mirat [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.