MinT - Information on Result #2858234

Information on Result #2858234

Linear OOA(3²⁴³, 79, F₃, 5, 120) (dual of [(79, 5), 152, 121]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 79, F₃, 5, 121) (dual of [(79, 5), 152, 122]-NRT-code), using

constructionÂ X [i] based on
1. linear OOA(3²²⁸, 73, F₃, 5, 121) (dual of [(73, 5), 137, 122]-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(3²¹³, 73, F₃, 5, 106) (dual of [(73, 5), 152, 107]-NRT-code), using OOA from sequence [i] based on digital (107, 73)-sequence over F₃ (see above)
3. linear OOA(3¹⁵, 6, F₃, 5, 14) (dual of [(6, 5), 15, 15]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁵, 7, F₃, 5, 14) (dual of [(7, 5), 20, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,20P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.