MinT - Information on Result #1384701

Information on Result #1384701

Linear OOA(32¹⁰⁹, 155, F₃₂, 2, 67) (dual of [(155, 2), 201, 68]-NRT-code), using OOA 2-folding based on linear OA(32¹⁰⁹, 310, F₃₂, 67) (dual of [310, 201, 68]-code), using

constructionÂ X applied to AG(F,239P) âŠ‚ AG(F,241P) [i] based on
1. linear OA(32¹⁰⁸, 307, F₃₂, 67) (dual of [307, 199, 68]-code), using algebraic-geometric code AG(F,239P) [i] based on function field F/F₃₂ with g(F) = 41 and N(F) ≥ 308, using
  - a curve from the manYPoints database [i]
2. linear OA(32¹⁰⁶, 307, F₃₂, 65) (dual of [307, 201, 66]-code), using algebraic-geometric code AG(F,241P) [i] based on function field F/F₃₂ with g(F) = 41 and N(F) ≥ 308 (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: 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.