MinT - Information on Result #2857565

Information on Result #2857565

Linear OOA(3²³⁴, 54, F₃, 5, 170) (dual of [(54, 5), 36, 171]-NRT-code), using strength reduction based on linear OOA(3²³⁴, 54, F₃, 5, 171) (dual of [(54, 5), 36, 172]-NRT-code), using

constructionÂ X applied to AG(5;F,63P) âŠ‚ AG(5;F,81P) [i] based on
1. linear OOA(3²¹⁶, 47, F₃, 5, 171) (dual of [(47, 5), 19, 172]-NRT-code), using algebraic-geometric NRT-code AG(5;F,63P) [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(3¹⁹⁸, 47, F₃, 5, 153) (dual of [(47, 5), 37, 154]-NRT-code), using algebraic-geometric NRT-code AG(5;F,81P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3¹⁸, 7, F₃, 5, 17) (dual of [(7, 5), 17, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,17P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.