MinT - Information on Result #2254914

Information on Result #2254914

Linear OA(16⁹⁶, 121, F₁₆, 61) (dual of [121, 25, 62]-code), using 2 times truncation based on linear OA(16⁹⁸, 123, F₁₆, 63) (dual of [123, 25, 64]-code), using

constructionÂ X applied to AG(F,0P) âŠ‚ AG(F,30P) [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(16³⁹, 64, F₁₆, 33) (dual of [64, 25, 34]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (see above)
3. linear OA(16³⁵, 59, F₁₆, 29) (dual of [59, 24, 30]-code), using
  - discarding factors / shortening the dual code based on linear OA(16³⁵, 64, F₁₆, 29) (dual of [64, 29, 30]-code), using
    - algebraic-geometric code AG(F,34P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65 (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.