MinT - Information on Result #2701336

Information on Result #2701336

Linear OOA(8¹²⁹, 113, F₈, 3, 68) (dual of [(113, 3), 210, 69]-NRT-code), using 8² times duplication based on linear OOA(8¹²⁷, 113, F₈, 3, 68) (dual of [(113, 3), 212, 69]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8⁴⁵, 48, F₈, 3, 34) (dual of [(48, 3), 99, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,109P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]
2. linear OOA(8⁸², 65, F₈, 3, 68) (dual of [(65, 3), 113, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,126P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [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.