MinT - Information on Result #2777087

Information on Result #2777087

Linear OOA(3²⁴², 72, F₃, 4, 142) (dual of [(72, 4), 46, 143]-NRT-code), using strength reduction based on linear OOA(3²⁴², 72, F₃, 4, 144) (dual of [(72, 4), 46, 145]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁹⁸, 36, F₃, 4, 72) (dual of [(36, 4), 46, 73]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,71P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁴⁴, 36, F₃, 4, 144) (dual of [(36, 4), 0, 145]-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.