MinT - Information on Result #2278063

Information on Result #2278063

Linear OA(5¹³¹, 261, F₅, 53) (dual of [261, 130, 54]-code), using 1 times code embedding in larger space based on linear OA(5¹³⁰, 260, F₅, 53) (dual of [260, 130, 54]-code), using

trace code [i] based on linear OA(25⁶⁵, 130, F₂₅, 53) (dual of [130, 65, 54]-code), using
- constructionÂ X applied to AG(F,71P) âŠ‚ AG(F,74P) [i] based on
  1. linear OA(25⁶³, 125, F₂₅, 53) (dual of [125, 62, 54]-code), using algebraic-geometric code AG(F,71P) [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
    - the Hermitian function field over F₂₅ [i]
  2. linear OA(25⁶⁰, 125, F₂₅, 50) (dual of [125, 65, 51]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126 (see above)
  3. linear OA(25², 5, F₂₅, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,25)), using
    - discarding factors / shortening the dual code based on linear OA(25², 25, F₂₅, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
      - Reedâ€“Solomon code RS(23,25) [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.