MinT - Information on Result #2857384

Information on Result #2857384

Linear OOA(3²³¹, 66, F₃, 5, 133) (dual of [(66, 5), 99, 134]-NRT-code), using strength reduction based on linear OOA(3²³¹, 66, F₃, 5, 134) (dual of [(66, 5), 99, 135]-NRT-code), using

constructionÂ X applied to AG(5;F,100P) âŠ‚ AG(5;F,144P) [i] based on
1. linear OOA(3¹⁷⁹, 47, F₃, 5, 134) (dual of [(47, 5), 56, 135]-NRT-code), using algebraic-geometric NRT-code AG(5;F,100P) [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(3¹³⁵, 47, F₃, 5, 90) (dual of [(47, 5), 100, 91]-NRT-code), using algebraic-geometric NRT-code AG(5;F,144P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3⁵², 19, F₃, 5, 43) (dual of [(19, 5), 43, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,51P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.