MinT - Information on Result #1105315

Information on Result #1105315

Linear OOA(3²¹², 76, F₃, 5, 85) (dual of [(76, 5), 168, 86]-NRT-code), using OOA 2-folding based on linear OOA(3²¹², 152, F₃, 3, 85) (dual of [(152, 3), 244, 86]-NRT-code), using

trace code [i] based on linear OOA(9¹⁰⁶, 76, F₉, 3, 85) (dual of [(76, 3), 122, 86]-NRT-code), using
- constructionÂ X applied to AG(3;F,133P) âŠ‚ AG(3;F,138P) [i] based on
  1. linear OOA(9¹⁰², 73, F₉, 3, 85) (dual of [(73, 3), 117, 86]-NRT-code), using algebraic-geometric NRT-code AG(3;F,133P) [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(9⁹⁷, 73, F₉, 3, 80) (dual of [(73, 3), 122, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁴, 3, F₉, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁴, 9, F₉, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(3;23,9) [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.