MinT - Information on Result #2504898

Information on Result #2504898

Linear OOA(5¹³³, 404, F₅, 2, 38) (dual of [(404, 2), 675, 39]-NRT-code), using 5¹ times duplication based on linear OOA(5¹³², 404, F₅, 2, 38) (dual of [(404, 2), 676, 39]-NRT-code), using

trace code [i] based on linear OOA(25⁶⁶, 202, F₂₅, 2, 38) (dual of [(202, 2), 338, 39]-NRT-code), using
- constructionÂ X applied to AG(2;F,359P) âŠ‚ AG(2;F,363P) [i] based on
  1. linear OOA(25⁶³, 199, F₂₅, 2, 38) (dual of [(199, 2), 335, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,359P) [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(25⁵⁹, 199, F₂₅, 2, 34) (dual of [(199, 2), 339, 35]-NRT-code), using algebraic-geometric NRT-code AG(2;F,363P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
  3. linear OOA(25³, 3, F₂₅, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25³, 25, F₂₅, 2, 3) (dual of [(25, 2), 47, 4]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;47,25) [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.