MinT - Information on Result #2638874

Information on Result #2638874

Linear OOA(4²⁵⁷, 89, F₄, 3, 198) (dual of [(89, 3), 10, 199]-NRT-code), using strength reduction based on linear OOA(4²⁵⁷, 89, F₄, 3, 201) (dual of [(89, 3), 10, 202]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷⁷, 29, F₄, 3, 64) (dual of [(29, 3), 10, 65]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
    - F₄ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]
2. linear OOA(4¹⁷⁰, 60, F₄, 3, 136) (dual of [(60, 3), 10, 137]-NRT-code), using
  - juxtaposition [i] based on
    1. 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]
    2. linear OOA(4⁸⁹, 33, F₄, 3, 74) (dual of [(33, 3), 10, 75]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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.