MinT - Information on Result #2853857

Information on Result #2853857

Linear OOA(3¹⁸⁰, 59, F₃, 5, 101) (dual of [(59, 5), 115, 102]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁰, 59, F₃, 5, 103) (dual of [(59, 5), 115, 104]-NRT-code), using

constructionÂ X applied to AG(5;F,131P) âŠ‚ AG(5;F,160P) [i] based on
1. linear OOA(3¹⁴⁸, 47, F₃, 5, 103) (dual of [(47, 5), 87, 104]-NRT-code), using algebraic-geometric NRT-code AG(5;F,131P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁹, 47, F₃, 5, 74) (dual of [(47, 5), 116, 75]-NRT-code), using algebraic-geometric NRT-code AG(5;F,160P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³², 12, F₃, 5, 28) (dual of [(12, 5), 28, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.