MinT - Information on Result #868543

Information on Result #868543

Linear OOA(27¹⁰¹, 66, F₂₇, 2, 71) (dual of [(66, 2), 31, 72]-NRT-code), using OOA 2-folding based on linear OA(27¹⁰¹, 132, F₂₇, 71) (dual of [132, 31, 72]-code), using

discarding factors / shortening the dual code based on linear OA(27¹⁰¹, 133, F₂₇, 71) (dual of [133, 32, 72]-code), using
- constructionÂ X applied to AG(F,23P) âŠ‚ AG(F,42P) [i] based on
  1. linear OA(27⁸², 95, F₂₇, 71) (dual of [95, 13, 72]-code), using algebraic-geometric code AG(F,23P) [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96, using
    - an explicitly constructive algebraic function field [i]
  2. linear OA(27⁶³, 95, F₂₇, 52) (dual of [95, 32, 53]-code), using algebraic-geometric code AG(F,42P) [i] based on function field F/F₂₇ with g(F) = 11 and N(F) ≥ 96 (see above)
  3. linear OA(27¹⁹, 38, F₂₇, 18) (dual of [38, 19, 19]-code), using
    - extended algebraic-geometric code AG_e(F,19P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [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.