MinT - Information on Result #982202

Information on Result #982202

Linear OOA(8¹¹⁶, 57, F₈, 3, 61) (dual of [(57, 3), 55, 62]-NRT-code), using OOA 2-folding based on linear OOA(8¹¹⁶, 114, F₈, 2, 61) (dual of [(114, 2), 112, 62]-NRT-code), using

constructionÂ X applied to AG(2;F,132P) âŠ‚ AG(2;F,149P) [i] based on
1. linear OOA(8⁹⁸, 97, F₈, 2, 61) (dual of [(97, 2), 96, 62]-NRT-code), using algebraic-geometric NRT-code AG(2;F,132P) [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(8⁸¹, 97, F₈, 2, 44) (dual of [(97, 2), 113, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,149P) [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.