MinT - Information on Result #2443026

Information on Result #2443026

Linear OOA(4²⁰³, 104, F₄, 2, 154) (dual of [(104, 2), 5, 155]-NRT-code), using strength reduction based on linear OOA(4²⁰³, 104, F₄, 2, 155) (dual of [(104, 2), 5, 156]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4⁴⁸, 26, F₄, 2, 38) (dual of [(26, 2), 4, 39]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,13P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁵¹, 26, F₄, 2, 51) (dual of [(26, 2), 1, 52]-NRT-code), using
  - dual of repetition NRT-code with length 26 [i]
3. linear OOA(4⁵², 26, F₄, 2, 52) (dual of [(26, 2), 0, 53]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4⁵², 26, F₄, 2, 52) (dual of [(26, 2), 0, 53]-NRT-code) (see above)

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.