MinT - Information on Result #2857390

Information on Result #2857390

Linear OOA(3²³¹, 77, F₃, 5, 113) (dual of [(77, 5), 154, 114]-NRT-code), using strength reduction based on linear OOA(3²³¹, 77, F₃, 5, 114) (dual of [(77, 5), 154, 115]-NRT-code), using

constructionÂ X [i] based on
1. linear OOA(3²²¹, 73, F₃, 5, 114) (dual of [(73, 5), 144, 115]-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(3²¹⁰, 73, F₃, 5, 103) (dual of [(73, 5), 155, 104]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃ (see above)
3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.