MinT - Information on Result #2451265

Information on Result #2451265

Linear OOA(8¹⁷⁰, 125, F₈, 2, 102) (dual of [(125, 2), 80, 103]-NRT-code), using strength reduction based on linear OOA(8¹⁷⁰, 125, F₈, 2, 103) (dual of [(125, 2), 80, 104]-NRT-code), using

constructionÂ X applied to AG(2;F,90P) âŠ‚ AG(2;F,116P) [i] based on
1. linear OOA(8¹⁴⁰, 97, F₈, 2, 103) (dual of [(97, 2), 54, 104]-NRT-code), using algebraic-geometric NRT-code AG(2;F,90P) [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(8¹¹⁴, 97, F₈, 2, 77) (dual of [(97, 2), 80, 78]-NRT-code), using algebraic-geometric NRT-code AG(2;F,116P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8³⁰, 28, F₈, 2, 25) (dual of [(28, 2), 26, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,30P) [i] based on function field F/F₈ with g(F) = 5 and N(F) ≥ 28, 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.