MinT - Information on Result #1063567

Information on Result #1063567

Linear OOA(3¹⁴⁸, 79, F₃, 4, 51) (dual of [(79, 4), 168, 52]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁴⁸, 158, F₃, 2, 51) (dual of [(158, 2), 168, 52]-NRT-code), using

trace code [i] based on linear OOA(9⁷⁴, 79, F₉, 2, 51) (dual of [(79, 2), 84, 52]-NRT-code), using
- constructionÂ X applied to AG(2;F,94P) âŠ‚ AG(2;F,101P) [i] based on
  1. linear OOA(9⁶⁸, 73, F₉, 2, 51) (dual of [(73, 2), 78, 52]-NRT-code), using algebraic-geometric NRT-code AG(2;F,94P) [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(9⁶¹, 73, F₉, 2, 44) (dual of [(73, 2), 85, 45]-NRT-code), using algebraic-geometric NRT-code AG(2;F,101P) [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74 (see above)
  3. linear OOA(9⁶, 6, F₉, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁶, 9, F₉, 2, 6) (dual of [(9, 2), 12, 7]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;12,9) [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.