MinT - Information on Result #2774758

Information on Result #2774758

Linear OOA(3²¹¹, 54, F₃, 4, 174) (dual of [(54, 4), 5, 175]-NRT-code), using strength reduction based on linear OOA(3²¹¹, 54, F₃, 4, 176) (dual of [(54, 4), 5, 177]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(3⁶⁷, 18, F₃, 4, 58) (dual of [(18, 4), 5, 59]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁷, 19, F₃, 4, 58) (dual of [(19, 4), 9, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,17P) [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.