MinT - Information on Result #2430555

Information on Result #2430555

Linear OOA(3⁷⁹, 42, F₃, 2, 54) (dual of [(42, 2), 5, 55]-NRT-code), using strength reduction based on linear OOA(3⁷⁹, 42, F₃, 2, 55) (dual of [(42, 2), 5, 56]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3²⁴, 14, F₃, 2, 18) (dual of [(14, 2), 4, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3²⁷, 14, F₃, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
  - dual of repetition NRT-code with length 14 [i]
3. linear OOA(3²⁸, 14, F₃, 2, 28) (dual of [(14, 2), 0, 29]-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.