MinT - Information on Result #974187

Information on Result #974187

Linear OOA(5¹³⁴, 152, F₅, 3, 43) (dual of [(152, 3), 322, 44]-NRT-code), using OOA 2-folding based on linear OOA(5¹³⁴, 304, F₅, 2, 43) (dual of [(304, 2), 474, 44]-NRT-code), using

trace code [i] based on linear OOA(25⁶⁷, 152, F₂₅, 2, 43) (dual of [(152, 2), 237, 44]-NRT-code), using
- constructionÂ X applied to AG(2;F,250P) âŠ‚ AG(2;F,256P) [i] based on
  1. linear OOA(25⁶², 147, F₂₅, 2, 43) (dual of [(147, 2), 232, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,250P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148, using
    - a function field by GarcÃa and Quoos [i]
  2. linear OOA(25⁵⁶, 147, F₂₅, 2, 37) (dual of [(147, 2), 238, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,256P) [i] based on function field F/F₂₅ with g(F) = 19 and N(F) ≥ 148 (see above)
  3. linear OOA(25⁵, 5, F₂₅, 2, 5) (dual of [(5, 2), 5, 6]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(25⁵, 25, F₂₅, 2, 5) (dual of [(25, 2), 45, 6]-NRT-code), using
      - Reedâ€“Solomon NRT-code RS(2;45,25) [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.