MinT - Information on Result #2634194

Information on Result #2634194

Linear OOA(4¹⁹⁷, 69, F₄, 3, 152) (dual of [(69, 3), 10, 153]-NRT-code), using strength reduction based on linear OOA(4¹⁹⁷, 69, F₄, 3, 155) (dual of [(69, 3), 10, 156]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁵, 15, F₄, 3, 31) (dual of [(15, 3), 10, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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.