MinT - Information on Result #2450715

Information on Result #2450715

Linear OOA(8¹⁵⁰, 121, F₈, 2, 87) (dual of [(121, 2), 92, 88]-NRT-code), using strength reduction based on linear OOA(8¹⁵⁰, 121, F₈, 2, 88) (dual of [(121, 2), 92, 89]-NRT-code), using

constructionÂ X applied to AG(2;F,105P) âŠ‚ AG(2;F,128P) [i] based on
1. linear OOA(8¹²⁵, 97, F₈, 2, 88) (dual of [(97, 2), 69, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [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(8¹⁰², 97, F₈, 2, 65) (dual of [(97, 2), 92, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,128P) [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.