MinT - Information on Result #2705310

Information on Result #2705310

Linear OOA(64⁴⁹, 257, F₆₄, 3, 27) (dual of [(257, 3), 722, 28]-NRT-code), using 64¹ times duplication based on linear OOA(64⁴⁸, 257, F₆₄, 3, 27) (dual of [(257, 3), 723, 28]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(64¹⁴, 80, F₆₄, 3, 13) (dual of [(80, 3), 226, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,226P) [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 OOA(64³⁴, 177, F₆₄, 3, 27) (dual of [(177, 3), 497, 28]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,503P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [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.