MinT - Information on Result #2624347

Information on Result #2624347

Linear OOA(3¹⁷¹, 63, F₃, 3, 111) (dual of [(63, 3), 18, 112]-NRT-code), using strength reduction based on linear OOA(3¹⁷¹, 63, F₃, 3, 113) (dual of [(63, 3), 18, 114]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶³, 27, F₃, 3, 48) (dual of [(27, 3), 18, 49]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,32P) [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(3⁹⁰, 36, F₃, 3, 64) (dual of [(36, 3), 18, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,43P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
    - an explicitly constructive algebraic function field [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.