MinT - Information on Result #2857942

Information on Result #2857942

Linear OOA(3²³⁹, 60, F₃, 5, 157) (dual of [(60, 5), 61, 158]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 60, F₃, 5, 159) (dual of [(60, 5), 61, 160]-NRT-code), using

constructionÂ X applied to AG(5;F,75P) âŠ‚ AG(5;F,106P) [i] based on
1. linear OOA(3²⁰⁴, 47, F₃, 5, 159) (dual of [(47, 5), 31, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,75P) [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(3¹⁷³, 47, F₃, 5, 128) (dual of [(47, 5), 62, 129]-NRT-code), using algebraic-geometric NRT-code AG(5;F,106P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48 (see above)
3. linear OOA(3³⁵, 13, F₃, 5, 30) (dual of [(13, 5), 30, 31]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 35, 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.