MinT - Information on Result #2855880

Information on Result #2855880

Linear OOA(3²¹⁰, 76, F₃, 5, 99) (dual of [(76, 5), 170, 100]-NRT-code), using strength reduction based on linear OOA(3²¹⁰, 76, F₃, 5, 100) (dual of [(76, 5), 170, 101]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁵, 28, F₃, 5, 50) (dual of [(28, 5), 75, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,89P) [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(3¹⁴⁵, 48, F₃, 5, 100) (dual of [(48, 5), 95, 101]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,139P) [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.