MinT - Information on Result #2776891

Information on Result #2776891

Linear OOA(3²³⁹, 72, F₃, 4, 138) (dual of [(72, 4), 49, 139]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 72, F₃, 4, 140) (dual of [(72, 4), 49, 141]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁹⁶, 36, F₃, 4, 70) (dual of [(36, 4), 48, 71]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,73P) [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(3¹⁴³, 36, F₃, 4, 140) (dual of [(36, 4), 1, 141]-NRT-code), using
  - strength reduction [i] based on linear OOA(3¹⁴³, 36, F₃, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using
    - dual of repetition NRT-code with length 36 [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.