MinT - Information on Result #2770665

Information on Result #2770665

Linear OOA(3¹³⁸, 60, F₃, 4, 66) (dual of [(60, 4), 102, 67]-NRT-code), using strength reduction based on linear OOA(3¹³⁸, 60, F₃, 4, 68) (dual of [(60, 4), 102, 69]-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(3⁸⁹, 32, F₃, 4, 68) (dual of [(32, 4), 39, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,59P) [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.