MinT - Information on Result #2624275

Information on Result #2624275

Linear OOA(3¹⁷⁰, 59, F₃, 3, 127) (dual of [(59, 3), 7, 128]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁰, 59, F₃, 3, 128) (dual of [(59, 3), 7, 129]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁶, 11, F₃, 3, 22) (dual of [(11, 3), 7, 23]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3²⁶, 12, F₃, 3, 22) (dual of [(12, 3), 10, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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(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.