MinT - Information on Result #2625481

Information on Result #2625481

Linear OOA(3¹⁹¹, 67, F₃, 3, 138) (dual of [(67, 3), 10, 139]-NRT-code), using strength reduction based on linear OOA(3¹⁹¹, 67, F₃, 3, 139) (dual of [(67, 3), 10, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²³, 11, F₃, 3, 19) (dual of [(11, 3), 10, 20]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²³, 12, F₃, 3, 19) (dual of [(12, 3), 13, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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(3¹⁵⁸, 56, F₃, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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.