MinT - Information on Result #859457

Information on Result #859457

Linear OOA(16⁸⁰, 46, F₁₆, 2, 62) (dual of [(46, 2), 12, 63]-NRT-code), using OOA 2-folding based on linear OA(16⁸⁰, 92, F₁₆, 62) (dual of [92, 12, 63]-code), using

1 times truncation [i] based on linear OA(16⁸¹, 93, F₁₆, 63) (dual of [93, 12, 64]-code), using
- constructionÂ X applied to AG(F,0P) âŠ‚ AG(F,17P) [i] based on
  1. linear OA(16⁶³, 64, F₁₆, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(16⁵², 64, F₁₆, 46) (dual of [64, 12, 47]-code), using algebraic-geometric code AG(F,17P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
  3. linear OA(16¹⁸, 29, F₁₆, 16) (dual of [29, 11, 17]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁸, 33, F₁₆, 16) (dual of [33, 15, 17]-code), using
      - extended algebraic-geometric code AG_e(F,16P) [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.