MinT - Information on Result #2770286

Information on Result #2770286

Linear OOA(3¹²⁷, 33, F₃, 4, 105) (dual of [(33, 4), 5, 106]-NRT-code), using strength reduction based on linear OOA(3¹²⁷, 33, F₃, 4, 107) (dual of [(33, 4), 5, 108]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(3³⁹, 11, F₃, 4, 35) (dual of [(11, 4), 5, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3³⁹, 12, F₃, 4, 35) (dual of [(12, 4), 9, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.