MinT - Information on Result #2662624

Information on Result #2662624

Linear OOA(4¹⁵⁷, 53, F₄, 3, 140) (dual of [(53, 3), 2, 141]-NRT-code), using 5 step truncation based on linear OOA(4¹⁶², 55, F₄, 3, 145) (dual of [(55, 3), 3, 146]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹², 5, F₄, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,4) [i]
2. linear OOA(4¹⁴⁷, 50, F₄, 3, 132) (dual of [(50, 3), 3, 133]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4¹², 5, F₄, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code) (see above)
    2. linear OOA(4¹³², 45, F₄, 3, 119) (dual of [(45, 3), 3, 120]-NRT-code), using
      - repeating each code word 5 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.