MinT - Information on Result #1103755

Information on Result #1103755

Linear OOA(3¹⁰³, 28, F₃, 5, 49) (dual of [(28, 5), 37, 50]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁰³, 56, F₃, 3, 49) (dual of [(56, 3), 65, 50]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3³⁹, 28, F₃, 3, 24) (dual of [(28, 3), 45, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,59P) [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(3⁶⁴, 28, F₃, 3, 49) (dual of [(28, 3), 20, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,34P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

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.