MinT - Information on Result #2638688

Information on Result #2638688

Linear OOA(4²⁵⁵, 87, F₄, 3, 207) (dual of [(87, 3), 6, 208]-NRT-code), using strength reduction based on linear OOA(4²⁵⁵, 87, F₄, 3, 209) (dual of [(87, 3), 6, 210]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹², 6, F₄, 3, 11) (dual of [(6, 3), 6, 12]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4¹², 9, F₄, 3, 11) (dual of [(9, 3), 15, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
      - the Hermitian function field over F₄ [i]
2. linear OOA(4²³⁷, 81, F₄, 3, 197) (dual of [(81, 3), 6, 198]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(4⁷⁵, 27, F₄, 3, 65) (dual of [(27, 3), 6, 66]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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.