MinT - Information on Result #2451328

Information on Result #2451328

Linear OOA(8¹⁷², 131, F₈, 2, 97) (dual of [(131, 2), 90, 98]-NRT-code), using strength reduction based on linear OOA(8¹⁷², 131, F₈, 2, 98) (dual of [(131, 2), 90, 99]-NRT-code), using

constructionÂ X applied to AG(2;F,95P) âŠ‚ AG(2;F,126P) [i] based on
1. linear OOA(8¹³⁵, 97, F₈, 2, 98) (dual of [(97, 2), 59, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [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(8¹⁰⁴, 97, F₈, 2, 67) (dual of [(97, 2), 90, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,126P) [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.