MinT - Information on Result #2631523

Information on Result #2631523

Linear OOA(4¹³⁸, 48, F₄, 3, 114) (dual of [(48, 3), 6, 115]-NRT-code), using strength reduction based on linear OOA(4¹³⁸, 48, F₄, 3, 115) (dual of [(48, 3), 6, 116]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁹⁶, 34, F₄, 3, 81) (dual of [(34, 3), 6, 82]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁴⁵, 17, F₄, 3, 40) (dual of [(17, 3), 6, 41]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, 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.