MinT - Information on Result #2701282

Information on Result #2701282

Linear OOA(8¹²⁶, 113, F₈, 3, 66) (dual of [(113, 3), 213, 67]-NRT-code), using 8² times duplication based on linear OOA(8¹²⁴, 113, F₈, 3, 66) (dual of [(113, 3), 215, 67]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8⁴⁴, 48, F₈, 3, 33) (dual of [(48, 3), 100, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,110P) [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(8⁸⁰, 65, F₈, 3, 66) (dual of [(65, 3), 115, 67]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,128P) [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.