MinT - Information on Result #869395

Information on Result #869395

Linear OOA(32²⁴, 50, F₃₂, 2, 16) (dual of [(50, 2), 76, 17]-NRT-code), using OOA 2-folding based on linear OA(32²⁴, 100, F₃₂, 16) (dual of [100, 76, 17]-code), using

constructionÂ X applied to AG(F,80P) âŠ‚ AG(F,82P) [i] based on
1. linear OA(32²³, 97, F₃₂, 16) (dual of [97, 74, 17]-code), using algebraic-geometric code AG(F,80P) [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98, using
  - a function field by SÃ©mirat [i]
2. linear OA(32²¹, 97, F₃₂, 14) (dual of [97, 76, 15]-code), using algebraic-geometric code AG(F,82P) [i] based on function field F/F₃₂ with g(F) = 7 and N(F) ≥ 98 (see above)
3. linear OA(32¹, 3, F₃₂, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(32¹, s, F₃₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.