MinT - Information on Result #1816229

Information on Result #1816229

OA(16²⁷, 82, S₁₆, 16), using discarding parts of the base based on linear OA(64¹⁸, 82, F₆₄, 16) (dual of [82, 64, 17]-code), using

constructionÂ X applied to AG(F,62P) âŠ‚ AG(F,64P) [i] based on
1. linear OA(64¹⁷, 79, F₆₄, 16) (dual of [79, 62, 17]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
  - a function field by SÃ©mirat [i]
2. linear OA(64¹⁵, 79, F₆₄, 14) (dual of [79, 64, 15]-code), using algebraic-geometric code AG(F,64P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80 (see above)
3. linear OA(64¹, 3, F₆₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(64¹, s, F₆₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Constructive.

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.