MinT - Information on Result #2858103

Information on Result #2858103

Linear OOA(3²⁴¹, 80, F₃, 5, 114) (dual of [(80, 5), 159, 115]-NRT-code), using strength reduction based on linear OOA(3²⁴¹, 80, F₃, 5, 117) (dual of [(80, 5), 159, 118]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁷⁹, 32, F₃, 5, 58) (dual of [(32, 5), 81, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,101P) [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(3¹⁶², 48, F₃, 5, 117) (dual of [(48, 5), 78, 118]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,122P) [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.