MinT - Information on Result #2858729

Information on Result #2858729

Linear OOA(3²⁴⁹, 87, F₃, 5, 112) (dual of [(87, 5), 186, 113]-NRT-code), using strength reduction based on linear OOA(3²⁴⁹, 87, F₃, 5, 114) (dual of [(87, 5), 186, 115]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁹⁰, 39, F₃, 5, 57) (dual of [(39, 5), 105, 58]-NRT-code), using
  - constructionÂ X applied to AG(5;F,61P) âŠ‚ AG(5;F,65P) [i] based on
    1. linear OOA(3⁸³, 36, F₃, 5, 57) (dual of [(36, 5), 97, 58]-NRT-code), using algebraic-geometric NRT-code AG(5;F,61P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
    2. linear OOA(3⁷⁵, 36, F₃, 5, 49) (dual of [(36, 5), 105, 50]-NRT-code), using algebraic-geometric NRT-code AG(5;F,65P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36 (see above)
    3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(5;8,3) [i]
2. linear OOA(3¹⁵⁹, 48, F₃, 5, 114) (dual of [(48, 5), 81, 115]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,125P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
    - an explicitly constructive algebraic function field [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.