MinT - Information on Result #2625402

Information on Result #2625402

Linear OOA(3¹⁹⁰, 67, F₃, 3, 133) (dual of [(67, 3), 11, 134]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁰, 67, F₃, 3, 136) (dual of [(67, 3), 11, 137]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²², 11, F₃, 3, 18) (dual of [(11, 3), 11, 19]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²², 12, F₃, 3, 18) (dual of [(12, 3), 14, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁵⁷, 56, F₃, 3, 117) (dual of [(56, 3), 11, 118]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷³, 28, F₃, 3, 58) (dual of [(28, 3), 11, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,25P) [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.