MinT - Information on Result #2623027

Information on Result #2623027

Linear OOA(3¹⁴⁵, 57, F₃, 3, 86) (dual of [(57, 3), 26, 87]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁵, 57, F₃, 3, 87) (dual of [(57, 3), 26, 88]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁸, 28, F₃, 3, 43) (dual of [(28, 3), 26, 44]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,40P) [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(3⁸⁷, 29, F₃, 3, 87) (dual of [(29, 3), 0, 88]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.