MinT - Information on Result #2439352

Information on Result #2439352

Linear OOA(4⁹⁸, 51, F₄, 2, 78) (dual of [(51, 2), 4, 79]-NRT-code), using strength reduction based on linear OOA(4⁹⁸, 51, F₄, 2, 79) (dual of [(51, 2), 4, 80]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁴, 9, F₄, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,4P) [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(4⁸⁰, 42, F₄, 2, 65) (dual of [(42, 2), 4, 66]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.