MinT - Information on Result #2504946

Information on Result #2504946

Linear OOA(5¹⁴⁷, 416, F₅, 2, 39) (dual of [(416, 2), 685, 40]-NRT-code), using 5¹ times duplication based on linear OOA(5¹⁴⁶, 416, F₅, 2, 39) (dual of [(416, 2), 686, 40]-NRT-code), using

trace code [i] based on linear OOA(25⁷³, 208, F₂₅, 2, 39) (dual of [(208, 2), 343, 40]-NRT-code), using
- constructionÂ X applied to AG(2;F,358P) âŠ‚ AG(2;F,368P) [i] based on
  1. linear OOA(25⁶⁴, 199, F₂₅, 2, 39) (dual of [(199, 2), 334, 40]-NRT-code), using algebraic-geometric NRT-code AG(2;F,358P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(25⁵⁴, 199, F₂₅, 2, 29) (dual of [(199, 2), 344, 30]-NRT-code), using algebraic-geometric NRT-code AG(2;F,368P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
  3. linear OOA(25⁹, 9, F₂₅, 2, 9) (dual of [(9, 2), 9, 10]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25⁹, 25, F₂₅, 2, 9) (dual of [(25, 2), 41, 10]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;41,25) [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.