MinT - Information on Result #2775201

Information on Result #2775201

Linear OOA(3²¹⁷, 80, F₃, 4, 100) (dual of [(80, 4), 103, 101]-NRT-code), using strength reduction based on linear OOA(3²¹⁷, 80, F₃, 4, 101) (dual of [(80, 4), 103, 102]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁷¹, 32, F₃, 4, 50) (dual of [(32, 4), 57, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,77P) [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(3¹⁴⁶, 48, F₃, 4, 101) (dual of [(48, 4), 46, 102]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,90P) [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.