MinT - Information on Result #2635856

Information on Result #2635856

Linear OOA(4²²¹, 76, F₄, 3, 179) (dual of [(76, 3), 7, 180]-NRT-code), using strength reduction based on linear OOA(4²²¹, 76, F₄, 3, 180) (dual of [(76, 3), 7, 181]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁶, 21, F₄, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁸, 55, F₄, 3, 130) (dual of [(55, 3), 7, 131]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(4¹¹⁶, 41, F₄, 3, 97) (dual of [(41, 3), 7, 98]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code) (see above)
        linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.