MinT - Information on Result #876549

Information on Result #876549

Linear OOA(81²⁷, 100, F₈₁, 2, 17) (dual of [(100, 2), 173, 18]-NRT-code), using OOA 2-folding based on linear OA(81²⁷, 200, F₈₁, 17) (dual of [200, 173, 18]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(81⁹, 100, F₈₁, 8) (dual of [100, 91, 9]-code), using
  - extended algebraic-geometric code AG_e(F,91P) [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
    - a function field by SÃ©mirat [i]
2. linear OA(81¹⁸, 100, F₈₁, 17) (dual of [100, 82, 18]-code), using
  - extended algebraic-geometric code AG_e(F,82P) [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100 (see above)

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.