MinT - Information on Result #2633311

Information on Result #2633311

Linear OOA(4¹⁸¹, 62, F₄, 3, 151) (dual of [(62, 3), 5, 152]-NRT-code), using strength reduction based on linear OOA(4¹⁸¹, 62, F₄, 3, 153) (dual of [(62, 3), 5, 154]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [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(4¹³⁹, 48, F₄, 3, 118) (dual of [(48, 3), 5, 119]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
    2. linear OOA(4⁹⁷, 34, F₄, 3, 83) (dual of [(34, 3), 5, 84]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(4⁴⁶, 17, F₄, 3, 41) (dual of [(17, 3), 5, 42]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,9P) [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.