MinT - Information on Result #2857368

Information on Result #2857368

Linear OOA(3²³¹, 55, F₃, 5, 163) (dual of [(55, 5), 44, 164]-NRT-code), using strength reduction based on linear OOA(3²³¹, 55, F₃, 5, 165) (dual of [(55, 5), 44, 166]-NRT-code), using

constructionÂ X applied to AG(5;F,69P) âŠ‚ AG(5;F,89P) [i] based on
1. linear OOA(3²¹⁰, 47, F₃, 5, 165) (dual of [(47, 5), 25, 166]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) [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(3¹⁹⁰, 47, F₃, 5, 145) (dual of [(47, 5), 45, 146]-NRT-code), using algebraic-geometric NRT-code AG(5;F,89P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²¹, 8, F₃, 5, 19) (dual of [(8, 5), 19, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,20P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, 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.