MinT - Information on Result #2638229

Information on Result #2638229

Linear OOA(4²⁵⁰, 87, F₄, 3, 192) (dual of [(87, 3), 11, 193]-NRT-code), using strength reduction based on linear OOA(4²⁵⁰, 87, F₄, 3, 193) (dual of [(87, 3), 11, 194]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵², 21, F₄, 3, 45) (dual of [(21, 3), 11, 46]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(4¹⁸⁷, 66, F₄, 3, 147) (dual of [(66, 3), 11, 148]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁸⁸, 33, F₄, 3, 73) (dual of [(33, 3), 11, 74]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.