MinT - Information on Result #2775818

Information on Result #2775818

Linear OOA(3²²⁵, 72, F₃, 4, 122) (dual of [(72, 4), 63, 123]-NRT-code), using strength reduction based on linear OOA(3²²⁵, 72, F₃, 4, 125) (dual of [(72, 4), 63, 126]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁴, 24, F₃, 4, 41) (dual of [(24, 4), 42, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3⁷⁵, 24, F₃, 4, 62) (dual of [(24, 4), 21, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,33P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
3. linear OOA(3⁹⁶, 24, F₃, 4, 96) (dual of [(24, 4), 0, 97]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.