MinT - Information on Result #2505105

Information on Result #2505105

Linear OOA(5¹⁴⁹, 410, F₅, 2, 43) (dual of [(410, 2), 671, 44]-NRT-code), using 5¹ times duplication based on linear OOA(5¹⁴⁸, 410, F₅, 2, 43) (dual of [(410, 2), 672, 44]-NRT-code), using

trace code [i] based on linear OOA(25⁷⁴, 205, F₂₅, 2, 43) (dual of [(205, 2), 336, 44]-NRT-code), using
- constructionÂ X applied to AG(2;F,354P) âŠ‚ AG(2;F,361P) [i] based on
  1. linear OOA(25⁶⁸, 199, F₂₅, 2, 43) (dual of [(199, 2), 330, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,354P) [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(25⁶¹, 199, F₂₅, 2, 36) (dual of [(199, 2), 337, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,361P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
  3. linear OOA(25⁶, 6, F₂₅, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25⁶, 25, F₂₅, 2, 6) (dual of [(25, 2), 44, 7]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;44,25) [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.