MinT - Information on Result #2439951

Information on Result #2439951

Linear OOA(4¹²³, 64, F₄, 2, 93) (dual of [(64, 2), 5, 94]-NRT-code), using strength reduction based on linear OOA(4¹²³, 64, F₄, 2, 95) (dual of [(64, 2), 5, 96]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4²⁸, 16, F₄, 2, 23) (dual of [(16, 2), 4, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4²⁸, 17, F₄, 2, 23) (dual of [(17, 2), 6, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4³¹, 16, F₄, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
  - dual of repetition NRT-code with length 16 [i]
3. linear OOA(4³², 16, F₄, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [i]
4. linear OOA(4³², 16, F₄, 2, 32) (dual of [(16, 2), 0, 33]-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.