MinT - Information on Result #2854504

Information on Result #2854504

Linear OOA(3¹⁹⁰, 61, F₃, 5, 106) (dual of [(61, 5), 115, 107]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁰, 61, F₃, 5, 107) (dual of [(61, 5), 115, 108]-NRT-code), using

constructionÂ X applied to AG(5;F,127P) âŠ‚ AG(5;F,160P) [i] based on
1. linear OOA(3¹⁵², 47, F₃, 5, 107) (dual of [(47, 5), 83, 108]-NRT-code), using algebraic-geometric NRT-code AG(5;F,127P) [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(3³⁸, 14, F₃, 5, 32) (dual of [(14, 5), 32, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,37P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, 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.