MinT - Information on Result #2771871

Information on Result #2771871

Linear OOA(3¹⁶³, 60, F₃, 4, 88) (dual of [(60, 4), 77, 89]-NRT-code), using strength reduction based on linear OOA(3¹⁶³, 60, F₃, 4, 90) (dual of [(60, 4), 77, 91]-NRT-code), using

constructionÂ X applied to AG(4;F,97P) âŠ‚ AG(4;F,121P) [i] based on
1. linear OOA(3¹³⁵, 47, F₃, 4, 90) (dual of [(47, 4), 53, 91]-NRT-code), using algebraic-geometric NRT-code AG(4;F,97P) [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(3¹¹¹, 47, F₃, 4, 66) (dual of [(47, 4), 77, 67]-NRT-code), using algebraic-geometric NRT-code AG(4;F,121P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3²⁸, 13, F₃, 4, 23) (dual of [(13, 4), 24, 24]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 28, 13)-net over F₃, using
    - net from sequence [i] based on digital (5, 12)-sequence over F₃, using
      - Niederreiterâ€“Xing sequence constructionÂ III based on the algebraic function field F/F₃ with g(F)Â =Â 4, N(F)Â =Â 12, and 1 place with degree 2 [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.