MinT - Information on Result #2430016

Information on Result #2430016

Linear OOA(3⁴², 23, F₃, 2, 30) (dual of [(23, 2), 4, 31]-NRT-code), using strength reduction based on linear OOA(3⁴², 23, F₃, 2, 31) (dual of [(23, 2), 4, 32]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵, 8, F₃, 2, 15) (dual of [(8, 2), 1, 16]-NRT-code), using
  - dual of repetition NRT-code with length 8 [i]
3. linear OOA(3¹⁶, 8, F₃, 2, 16) (dual of [(8, 2), 0, 17]-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.