MinT - Information on Result #647552

Information on Result #647552

Linear OA(25¹⁰², 227, F₂₅, 63) (dual of [227, 125, 64]-code), using constructionÂ X applied to AG(F,135P) âŠ‚ AG(F,149P) based on

linear OA(25⁸⁸, 199, F₂₅, 63) (dual of [199, 111, 64]-code), using algebraic-geometric code AG(F,135P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200, using
- a function field by GarcÃa and Quoos [i]
linear OA(25⁷⁴, 199, F₂₅, 49) (dual of [199, 125, 50]-code), using algebraic-geometric code AG(F,149P) [i] based on function field F/F₂₅ with g(F) = 25 and N(F) ≥ 200 (see above)
linear OA(25¹⁴, 28, F₂₅, 13) (dual of [28, 14, 14]-code), using
- constructionÂ X applied to RS(12,25) âŠ‚ RS(14,25) [i] based on
  1. linear OA(25¹³, 25, F₂₅, 13) (dual of [25, 12, 14]-code or 25-arc in PG(12,25)), using Reedâ€“Solomon code RS(12,25) [i]
  2. linear OA(25¹¹, 25, F₂₅, 11) (dual of [25, 14, 12]-code or 25-arc in PG(10,25)), using Reedâ€“Solomon code RS(14,25) [i]
  3. linear OA(25¹, 3, F₂₅, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]

Mode: Constructive and linear.

None.

None.