MinT - Information on Result #2856505

Information on Result #2856505

Linear OOA(3²¹⁹, 80, F₃, 5, 100) (dual of [(80, 5), 181, 101]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 80, F₃, 5, 102) (dual of [(80, 5), 181, 103]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁷², 32, F₃, 5, 51) (dual of [(32, 5), 88, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,108P) [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, 5, 102) (dual of [(48, 5), 93, 103]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,137P) [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.