MinT - Information on Result #2776352

Information on Result #2776352

Linear OOA(3²³², 84, F₃, 4, 109) (dual of [(84, 4), 104, 110]-NRT-code), using strength reduction based on linear OOA(3²³², 84, F₃, 4, 110) (dual of [(84, 4), 104, 111]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵¹, 28, F₃, 4, 36) (dual of [(28, 4), 61, 37]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,75P) [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(3⁷⁰, 28, F₃, 4, 55) (dual of [(28, 4), 42, 56]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,56P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3¹¹¹, 28, F₃, 4, 110) (dual of [(28, 4), 1, 111]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹¹¹, 28, F₃, 4, 111) (dual of [(28, 4), 1, 112]-NRT-code), using
    - dual of repetition NRT-code with length 28 [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.