MinT - Information on Result #2775341

Information on Result #2775341

Linear OOA(3²¹⁹, 72, F₃, 4, 116) (dual of [(72, 4), 69, 117]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 72, F₃, 4, 117) (dual of [(72, 4), 69, 118]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵², 24, F₃, 4, 39) (dual of [(24, 4), 44, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,56P) [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(3⁷¹, 24, F₃, 4, 58) (dual of [(24, 4), 25, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,37P) [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.