MinT - Information on Result #2624367

Information on Result #2624367

Linear OOA(3¹⁷², 60, F₃, 3, 126) (dual of [(60, 3), 8, 127]-NRT-code), using strength reduction based on linear OOA(3¹⁷², 60, F₃, 3, 128) (dual of [(60, 3), 8, 129]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁸, 12, F₃, 3, 24) (dual of [(12, 3), 8, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(3¹³⁶, 48, F₃, 3, 103) (dual of [(48, 3), 8, 104]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁶⁴, 24, F₃, 3, 51) (dual of [(24, 3), 8, 52]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,20P) [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.