MinT - Information on Result #2632947

Information on Result #2632947

Linear OOA(4¹⁷³, 59, F₄, 3, 144) (dual of [(59, 3), 4, 145]-NRT-code), using strength reduction based on linear OOA(4¹⁷³, 59, F₄, 3, 149) (dual of [(59, 3), 4, 150]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁸, 4, F₄, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;4,4) [i]
2. linear OOA(4¹⁶¹, 55, F₄, 3, 140) (dual of [(55, 3), 4, 141]-NRT-code), using
  - 3 step truncation [i] based on linear OOA(4¹⁶⁴, 56, F₄, 3, 143) (dual of [(56, 3), 4, 144]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;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.