MinT - Information on Result #982440

Information on Result #982440

Linear OOA(8¹²², 57, F₈, 3, 67) (dual of [(57, 3), 49, 68]-NRT-code), using OOA 2-folding based on linear OOA(8¹²², 114, F₈, 2, 67) (dual of [(114, 2), 106, 68]-NRT-code), using

constructionÂ X applied to AG(2;F,126P) âŠ‚ AG(2;F,143P) [i] based on
1. 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, using
  - F₅ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
2. linear OOA(8⁸⁷, 97, F₈, 2, 50) (dual of [(97, 2), 107, 51]-NRT-code), using algebraic-geometric NRT-code AG(2;F,143P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8¹⁸, 17, F₈, 2, 16) (dual of [(17, 2), 16, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,17P) [i] based on function field F/F₈ with g(F) = 2 and N(F) ≥ 17, 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.