MinT - Information on Result #2663121

Information on Result #2663121

Linear OOA(4²¹⁰, 71, F₄, 3, 177) (dual of [(71, 3), 3, 178]-NRT-code), using 4 step truncation based on linear OOA(4²¹⁴, 73, F₄, 3, 181) (dual of [(73, 3), 5, 182]-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(4¹⁷², 59, F₄, 3, 146) (dual of [(59, 3), 5, 147]-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(4¹³⁰, 45, F₄, 3, 111) (dual of [(45, 3), 5, 112]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
        linear OOA(4⁸⁸, 31, F₄, 3, 76) (dual of [(31, 3), 5, 77]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
        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.