MinT - Information on Result #2622736

Information on Result #2622736

Linear OOA(3¹³⁸, 52, F₃, 3, 89) (dual of [(52, 3), 18, 90]-NRT-code), using strength reduction based on linear OOA(3¹³⁸, 52, F₃, 3, 91) (dual of [(52, 3), 18, 92]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(3⁶⁰, 26, F₃, 3, 45) (dual of [(26, 3), 18, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁰, 27, F₃, 3, 45) (dual of [(27, 3), 21, 46]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,35P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.