MinT - Information on Result #2439002

Information on Result #2439002

Linear OOA(4⁸¹, 45, F₄, 2, 55) (dual of [(45, 2), 9, 56]-NRT-code), using strength reduction based on linear OOA(4⁸¹, 45, F₄, 2, 56) (dual of [(45, 2), 9, 57]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4²², 15, F₄, 2, 18) (dual of [(15, 2), 8, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,11P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4²⁹, 15, F₄, 2, 28) (dual of [(15, 2), 1, 29]-NRT-code), using
  - strength reduction [i] based on linear OOA(4²⁹, 15, F₄, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
    - dual of repetition NRT-code with length 15 [i]
3. linear OOA(4³⁰, 15, F₄, 2, 30) (dual of [(15, 2), 0, 31]-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.