MinT - Information on Result #2889108

Information on Result #2889108

Linear OOA(3¹⁷⁵, 88, F₃, 5, 90) (dual of [(88, 5), 265, 91]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁵, 88, F₃, 5, 91) (dual of [(88, 5), 265, 92]-NRT-code), using

constructionÂ X applied to AG(5;F,323P) âŠ‚ AG(5;F,336P) [i] based on
1. linear OOA(3¹⁶², 83, F₃, 5, 91) (dual of [(83, 5), 253, 92]-NRT-code), using algebraic-geometric NRT-code AG(5;F,323P) [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(3¹⁴⁹, 83, F₃, 5, 78) (dual of [(83, 5), 266, 79]-NRT-code), using algebraic-geometric NRT-code AG(5;F,336P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3¹³, 5, F₃, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹³, 7, F₃, 5, 12) (dual of [(7, 5), 22, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,22P) [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.