MinT - Information on Result #876508

Information on Result #876508

Linear OOA(81²⁴, 87, F₈₁, 2, 16) (dual of [(87, 2), 150, 17]-NRT-code), using OOA 2-folding based on linear OA(81²⁴, 174, F₈₁, 16) (dual of [174, 150, 17]-code), using

constructionÂ X applied to AG(F,154P) âŠ‚ AG(F,156P) [i] based on
1. linear OA(81²³, 171, F₈₁, 16) (dual of [171, 148, 17]-code), using algebraic-geometric code AG(F,154P) [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
  - a function field by SÃ©mirat [i]
2. linear OA(81²¹, 171, F₈₁, 14) (dual of [171, 150, 15]-code), using algebraic-geometric code AG(F,156P) [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172 (see above)
3. linear OA(81¹, 3, F₈₁, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(81¹, s, F₈₁, 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.