MinT - Information on Result #2889040

Information on Result #2889040

Linear OOA(3¹⁷³, 88, F₃, 5, 88) (dual of [(88, 5), 267, 89]-NRT-code), using strength reduction based on linear OOA(3¹⁷³, 88, F₃, 5, 89) (dual of [(88, 5), 267, 90]-NRT-code), using

constructionÂ X applied to AG(5;F,325P) âŠ‚ AG(5;F,338P) [i] based on
1. linear OOA(3¹⁶⁰, 83, F₃, 5, 89) (dual of [(83, 5), 255, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,325P) [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(3¹⁴⁷, 83, F₃, 5, 76) (dual of [(83, 5), 268, 77]-NRT-code), using algebraic-geometric NRT-code AG(5;F,338P) [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.