MinT - Information on Result #2625277

Information on Result #2625277

Linear OOA(3¹⁸⁸, 64, F₃, 3, 145) (dual of [(64, 3), 4, 146]-NRT-code), using strength reduction based on linear OOA(3¹⁸⁸, 64, F₃, 3, 153) (dual of [(64, 3), 4, 154]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸, 4, F₃, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;4,3) [i]
2. linear OOA(3¹⁷⁶, 60, F₃, 3, 144) (dual of [(60, 3), 4, 145]-NRT-code), using
  - repeating each code word 5 times [i] based on linear OOA(3³², 12, F₃, 3, 28) (dual of [(12, 3), 4, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.