MinT - Information on Result #2622029

Information on Result #2622029

Linear OOA(3¹²¹, 60, F₃, 3, 56) (dual of [(60, 3), 59, 57]-NRT-code), using strength reduction based on linear OOA(3¹²¹, 60, F₃, 3, 57) (dual of [(60, 3), 59, 58]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴³, 28, F₃, 3, 28) (dual of [(28, 3), 41, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,55P) [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(3⁷⁸, 32, F₃, 3, 57) (dual of [(32, 3), 18, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,38P) [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.