MinT - Information on Result #2635631

Information on Result #2635631

Linear OOA(4²¹⁸, 76, F₄, 3, 167) (dual of [(76, 3), 10, 168]-NRT-code), using strength reduction based on linear OOA(4²¹⁸, 76, F₄, 3, 171) (dual of [(76, 3), 10, 172]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁶, 22, F₄, 3, 47) (dual of [(22, 3), 10, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 9 and N(F) ≥ 22, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵², 54, F₄, 3, 123) (dual of [(54, 3), 10, 124]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁷¹, 27, F₄, 3, 61) (dual of [(27, 3), 10, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [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.