MinT - Information on Result #1063068

Information on Result #1063068

Linear OOA(3⁵⁷, 15, F₃, 4, 45) (dual of [(15, 4), 3, 46]-NRT-code), using OOA 2-folding based on linear OOA(3⁵⁷, 30, F₃, 2, 45) (dual of [(30, 2), 3, 46]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³, 3, F₃, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;3,3) [i]
2. linear OOA(3⁵¹, 27, F₃, 2, 41) (dual of [(27, 2), 3, 42]-NRT-code), using
  - 2 step truncation [i] based on linear OOA(3⁵³, 28, F₃, 2, 43) (dual of [(28, 2), 3, 44]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.