MinT - Information on Result #2857710

Information on Result #2857710

Linear OOA(3²³⁶, 55, F₃, 5, 168) (dual of [(55, 5), 39, 169]-NRT-code), using strength reduction based on linear OOA(3²³⁶, 55, F₃, 5, 170) (dual of [(55, 5), 39, 171]-NRT-code), using

constructionÂ X applied to AG(5;F,64P) âŠ‚ AG(5;F,84P) [i] based on
1. linear OOA(3²¹⁵, 47, F₃, 5, 170) (dual of [(47, 5), 20, 171]-NRT-code), using algebraic-geometric NRT-code AG(5;F,64P) [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(3¹⁹⁵, 47, F₃, 5, 150) (dual of [(47, 5), 40, 151]-NRT-code), using algebraic-geometric NRT-code AG(5;F,84P) [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.