MinT - Information on Result #2644182

Information on Result #2644182

Linear OOA(8¹¹², 113, F₈, 3, 57) (dual of [(113, 3), 227, 58]-NRT-code), using strength reduction based on linear OOA(8¹¹², 113, F₈, 3, 58) (dual of [(113, 3), 227, 59]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8⁴⁰, 48, F₈, 3, 29) (dual of [(48, 3), 104, 30]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,114P) [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(8⁷², 65, F₈, 3, 58) (dual of [(65, 3), 123, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,136P) [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.