MinT - Information on Result #2504987

Information on Result #2504987

Linear OOA(5¹⁴⁷, 414, F₅, 2, 40) (dual of [(414, 2), 681, 41]-NRT-code), using 5¹ times duplication based on linear OOA(5¹⁴⁶, 414, F₅, 2, 40) (dual of [(414, 2), 682, 41]-NRT-code), using

trace code [i] based on linear OOA(25⁷³, 207, F₂₅, 2, 40) (dual of [(207, 2), 341, 41]-NRT-code), using
- constructionÂ X applied to AG(2;F,357P) âŠ‚ AG(2;F,366P) [i] based on
  1. linear OOA(25⁶⁵, 199, F₂₅, 2, 40) (dual of [(199, 2), 333, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,357P) [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(25⁵⁶, 199, F₂₅, 2, 31) (dual of [(199, 2), 342, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,366P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
  3. linear OOA(25⁸, 8, F₂₅, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25⁸, 25, F₂₅, 2, 8) (dual of [(25, 2), 42, 9]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;42,25) [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.