MinT - Information on Result #2626639

Information on Result #2626639

Linear OOA(3²¹⁰, 72, F₃, 3, 162) (dual of [(72, 3), 6, 163]-NRT-code), using strength reduction based on linear OOA(3²¹⁰, 72, F₃, 3, 163) (dual of [(72, 3), 6, 164]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴², 16, F₃, 3, 35) (dual of [(16, 3), 6, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶², 56, F₃, 3, 127) (dual of [(56, 3), 6, 128]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁸, 28, F₃, 3, 63) (dual of [(28, 3), 6, 64]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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.