MinT - Information on Result #2813267

Information on Result #2813267

Linear OOA(3¹⁹⁹, 90, F₃, 4, 113) (dual of [(90, 4), 161, 114]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁹, 90, F₃, 4, 114) (dual of [(90, 4), 161, 115]-NRT-code), using

constructionÂ X applied to AG(4;F,217P) âŠ‚ AG(4;F,231P) [i] based on
1. linear OOA(3¹⁸⁵, 83, F₃, 4, 114) (dual of [(83, 4), 147, 115]-NRT-code), using algebraic-geometric NRT-code AG(4;F,217P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3¹⁷¹, 83, F₃, 4, 100) (dual of [(83, 4), 161, 101]-NRT-code), using algebraic-geometric NRT-code AG(4;F,231P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3¹⁴, 7, F₃, 4, 13) (dual of [(7, 4), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]

Mode: 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.