MinT - Information on Result #1383376

Information on Result #1383376

Linear OOA(27¹⁰⁹, 137, F₂₇, 2, 68) (dual of [(137, 2), 165, 69]-NRT-code), using OOA 2-folding based on linear OA(27¹⁰⁹, 274, F₂₇, 68) (dual of [274, 165, 69]-code), using

discarding factors / shortening the dual code based on linear OA(27¹⁰⁹, 275, F₂₇, 68) (dual of [275, 166, 69]-code), using
- constructionÂ X applied to AG(F,201P) âŠ‚ AG(F,204P) [i] based on
  1. linear OA(27¹⁰⁷, 270, F₂₇, 68) (dual of [270, 163, 69]-code), using algebraic-geometric code AG(F,201P) [i] based on function field F/F₂₇ with g(F) = 39 and N(F) ≥ 271, using
    - a curve from the manYPoints database [i]
  2. linear OA(27¹⁰⁴, 270, F₂₇, 65) (dual of [270, 166, 66]-code), using algebraic-geometric code AG(F,204P) [i] based on function field F/F₂₇ with g(F) = 39 and N(F) ≥ 271 (see above)
  3. linear OA(27², 5, F₂₇, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,27)), using
    - discarding factors / shortening the dual code based on linear OA(27², 27, F₂₇, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
      - Reedâ€“Solomon code RS(25,27) [i]

Mode: 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.