MinT - Information on Result #659689

Information on Result #659689

Linear OA(5⁸⁰, 148, F₅, 32) (dual of [148, 68, 33]-code), using trace code based on linear OA(25⁴⁰, 74, F₂₅, 32) (dual of [74, 34, 33]-code), using

constructionÂ X applied to AG(F,32P) âŠ‚ AG(F,37P) [i] based on
1. linear OA(25³⁶, 65, F₂₅, 32) (dual of [65, 29, 33]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(25³¹, 65, F₂₅, 27) (dual of [65, 34, 28]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66 (see above)
3. linear OA(25⁴, 9, F₂₅, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,25)), using
  - discarding factors / shortening the dual code based on linear OA(25⁴, 25, F₂₅, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
    - Reedâ€“Solomon code RS(21,25) [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.