MinT - Information on Result #2450606

Information on Result #2450606

Linear OOA(8¹⁴⁵, 121, F₈, 2, 82) (dual of [(121, 2), 97, 83]-NRT-code), using strength reduction based on linear OOA(8¹⁴⁵, 121, F₈, 2, 83) (dual of [(121, 2), 97, 84]-NRT-code), using

constructionÂ X applied to AG(2;F,110P) âŠ‚ AG(2;F,133P) [i] based on
1. linear OOA(8¹²⁰, 97, F₈, 2, 83) (dual of [(97, 2), 74, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,110P) [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(8⁹⁷, 97, F₈, 2, 60) (dual of [(97, 2), 97, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [i] based on function field F/F₈ with g(F) = 37 and N(F) ≥ 98 (see above)
3. linear OOA(8²⁵, 24, F₈, 2, 22) (dual of [(24, 2), 23, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,25P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
    - the Klein quartic over F₈ [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.