MinT - Information on Result #2803841

Information on Result #2803841

Linear OOA(3¹⁴³, 61, F₃, 4, 69) (dual of [(61, 4), 101, 70]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3¹³⁹, 60, F₃, 4, 69) (dual of [(60, 4), 101, 70]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁹, 28, F₃, 4, 34) (dual of [(28, 4), 63, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,77P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁹⁰, 32, F₃, 4, 69) (dual of [(32, 4), 38, 70]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,58P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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.