MinT - Information on Result #2287008

Information on Result #2287008

Linear OA(16⁷⁵, 103, F₁₆, 48) (dual of [103, 28, 49]-code), using 1 times code embedding in larger space based on linear OA(16⁷⁴, 102, F₁₆, 48) (dual of [102, 28, 49]-code), using

constructionÂ X applied to AG(F,15P) âŠ‚ AG(F,33P) [i] based on
1. linear OA(16⁵⁴, 64, F₁₆, 48) (dual of [64, 10, 49]-code), using algebraic-geometric code AG(F,15P) [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(16³⁶, 64, F₁₆, 30) (dual of [64, 28, 31]-code), using algebraic-geometric code AG(F,33P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
3. linear OA(16²⁰, 38, F₁₆, 17) (dual of [38, 18, 18]-code), using
  - extended algebraic-geometric code AG_e(F,20P) [i] based on function field F/F₁₆ with g(F) = 3 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.