MinT - Information on Result #2624705

Information on Result #2624705

Linear OOA(3¹⁷⁸, 62, F₃, 3, 130) (dual of [(62, 3), 8, 131]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 62, F₃, 3, 132) (dual of [(62, 3), 8, 133]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁶, 8, F₃, 3, 14) (dual of [(8, 3), 8, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁴, 54, F₃, 3, 117) (dual of [(54, 3), 8, 118]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷³, 27, F₃, 3, 58) (dual of [(27, 3), 8, 59]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,22P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.