MinT - Information on Result #858041

Information on Result #858041

Linear OOA(16⁵⁹, 47, F₁₆, 2, 37) (dual of [(47, 2), 35, 38]-NRT-code), using OOA 2-folding based on linear OA(16⁵⁹, 94, F₁₆, 37) (dual of [94, 35, 38]-code), using

discarding factors / shortening the dual code based on linear OA(16⁵⁹, 95, F₁₆, 37) (dual of [95, 36, 38]-code), using
- constructionÂ X applied to AG(F,26P) âŠ‚ AG(F,41P) [i] based on
  1. linear OA(16⁴³, 64, F₁₆, 37) (dual of [64, 21, 38]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
    - the Hermitian function field over F₁₆ [i]
  2. linear OA(16²⁸, 64, F₁₆, 22) (dual of [64, 36, 23]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16¹⁶, 31, F₁₆, 14) (dual of [31, 15, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁶, 33, F₁₆, 14) (dual of [33, 17, 15]-code), using
      - extended algebraic-geometric code AG_e(F,18P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, 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.