MinT - Information on Result #2857800

Information on Result #2857800

Linear OOA(3²³⁷, 76, F₃, 5, 122) (dual of [(76, 5), 143, 123]-NRT-code), using strength reduction based on linear OOA(3²³⁷, 76, F₃, 5, 123) (dual of [(76, 5), 143, 124]-NRT-code), using

constructionÂ X [i] based on
1. linear OOA(3²³⁰, 73, F₃, 5, 123) (dual of [(73, 5), 135, 124]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃, using
  - base reduction for sequences [i] based on digital (17, 73)-sequence over F₉, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
      - a function field by GarcÃa and Quoos [i]
2. linear OOA(3²²², 73, F₃, 5, 115) (dual of [(73, 5), 143, 116]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃ (see above)
3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(5;8,3) [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.