MinT - Information on Result #2625904

Information on Result #2625904

Linear OOA(3¹⁹⁸, 68, F₃, 3, 151) (dual of [(68, 3), 6, 152]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁸, 68, F₃, 3, 152) (dual of [(68, 3), 6, 153]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁷, 11, F₃, 3, 23) (dual of [(11, 3), 6, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁷, 12, F₃, 3, 23) (dual of [(12, 3), 9, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [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(3¹⁶⁵, 57, F₃, 3, 128) (dual of [(57, 3), 6, 129]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(3⁵¹, 19, F₃, 3, 42) (dual of [(19, 3), 6, 43]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.