MinT - Information on Result #873001

Information on Result #873001

Linear OOA(32¹⁰¹, 61, F₃₂, 2, 89) (dual of [(61, 2), 21, 90]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰¹, 122, F₃₂, 89) (dual of [122, 21, 90]-code), using

constructionÂ X applied to AG(F,29P) âŠ‚ AG(F,31P) [i] based on
1. linear OA(32¹⁰⁰, 119, F₃₂, 89) (dual of [119, 19, 90]-code), using algebraic-geometric code AG(F,29P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
  - a function field by SÃ©mirat [i]
2. linear OA(32⁹⁸, 119, F₃₂, 87) (dual of [119, 21, 88]-code), using algebraic-geometric code AG(F,31P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (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.