MinT - Information on Result #2633181

Information on Result #2633181

Linear OOA(4¹⁷⁸, 61, F₄, 3, 147) (dual of [(61, 3), 5, 148]-NRT-code), using strength reduction based on linear OOA(4¹⁷⁸, 61, F₄, 3, 150) (dual of [(61, 3), 5, 151]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁰, 5, F₄, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,4) [i]
2. linear OOA(4¹⁶³, 56, F₄, 3, 139) (dual of [(56, 3), 5, 140]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [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.