MinT - Information on Result #2624120

Information on Result #2624120

Linear OOA(3¹⁶⁷, 58, F₃, 3, 124) (dual of [(58, 3), 7, 125]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁷, 58, F₃, 3, 126) (dual of [(58, 3), 7, 127]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²³, 10, F₃, 3, 20) (dual of [(10, 3), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹³⁷, 48, F₃, 3, 105) (dual of [(48, 3), 7, 106]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁶⁵, 24, F₃, 3, 52) (dual of [(24, 3), 7, 53]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [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.