MinT - Information on Result #2713220

Information on Result #2713220

Linear OOA(3²²⁸, 89, F₃, 3, 147) (dual of [(89, 3), 39, 148]-NRT-code), using strength reduction based on linear OOA(3²²⁸, 89, F₃, 3, 148) (dual of [(89, 3), 39, 149]-NRT-code), using

constructionÂ X applied to AG(3;F,100P) âŠ‚ AG(3;F,109P) [i] based on
1. linear OOA(3²¹⁹, 83, F₃, 3, 148) (dual of [(83, 3), 30, 149]-NRT-code), using algebraic-geometric NRT-code AG(3;F,100P) [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(3²¹⁰, 83, F₃, 3, 139) (dual of [(83, 3), 39, 140]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3⁹, 6, F₃, 3, 8) (dual of [(6, 3), 9, 9]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹, 7, F₃, 3, 8) (dual of [(7, 3), 12, 9]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [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.