MinT - Information on Result #863623

Information on Result #863623

Linear OOA(25⁹⁰, 112, F₂₅, 2, 53) (dual of [(112, 2), 134, 54]-NRT-code), using OOA 2-folding based on linear OA(25⁹⁰, 224, F₂₅, 53) (dual of [224, 134, 54]-code), using

constructionÂ X applied to AG(F,145P) âŠ‚ AG(F,158P) [i] based on
1. linear OA(25⁷⁸, 199, F₂₅, 53) (dual of [199, 121, 54]-code), using algebraic-geometric code AG(F,145P) [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 OA(25⁶⁵, 199, F₂₅, 40) (dual of [199, 134, 41]-code), using algebraic-geometric code AG(F,158P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
3. linear OA(25¹², 25, F₂₅, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
  - Reedâ€“Solomon code RS(13,25) [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.