MinT - Information on Result #2648727

Information on Result #2648727

Linear OOA(64⁶⁰, 257, F₆₄, 3, 34) (dual of [(257, 3), 711, 35]-NRT-code), using strength reduction based on linear OOA(64⁶⁰, 257, F₆₄, 3, 35) (dual of [(257, 3), 711, 36]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(64¹⁸, 80, F₆₄, 3, 17) (dual of [(80, 3), 222, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,222P) [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(64⁴², 177, F₆₄, 3, 35) (dual of [(177, 3), 489, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,495P) [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.