MinT - Information on Result #2775347

Information on Result #2775347

Linear OOA(3²¹⁹, 80, F₃, 4, 101) (dual of [(80, 4), 101, 102]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 80, F₃, 4, 102) (dual of [(80, 4), 101, 103]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁷², 32, F₃, 4, 51) (dual of [(32, 4), 56, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,76P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴⁷, 48, F₃, 4, 102) (dual of [(48, 4), 45, 103]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,89P) [i] based on function field F/F₃ with g(F) = 45 and N(F) ≥ 48, using
    - an explicitly constructive algebraic function field [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.