MinT - Information on Result #2635701

Information on Result #2635701

Linear OOA(4²¹⁹, 74, F₄, 3, 188) (dual of [(74, 3), 3, 189]-NRT-code), using strength reduction based on linear OOA(4²¹⁹, 74, F₄, 3, 195) (dual of [(74, 3), 3, 196]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁶, 3, F₄, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁶, 4, F₄, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;6,4) [i]
2. linear OOA(4²¹⁰, 71, F₄, 3, 188) (dual of [(71, 3), 3, 189]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(4²¹³, 72, F₄, 3, 191) (dual of [(72, 3), 3, 192]-NRT-code), using
    - repeating each code word 8 times [i] based on linear OOA(4²⁴, 9, F₄, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
        the Hermitian function field over F₄ [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.