MinT - Information on Result #2627331

Information on Result #2627331

Linear OOA(3²²¹, 77, F₃, 3, 158) (dual of [(77, 3), 10, 159]-NRT-code), using strength reduction based on linear OOA(3²²¹, 77, F₃, 3, 160) (dual of [(77, 3), 10, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵³, 21, F₃, 3, 40) (dual of [(21, 3), 10, 41]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵³, 24, F₃, 3, 40) (dual of [(24, 3), 19, 41]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [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.