MinT - Information on Result #2610891

Information on Result #2610891

Linear OOA(2⁹⁰, 32, F₂, 3, 56) (dual of [(32, 3), 6, 57]-NRT-code), using strength reduction based on linear OOA(2⁹⁰, 32, F₂, 3, 59) (dual of [(32, 3), 6, 60]-NRT-code), using

repeating each code word 4 times [i] based on linear OOA(2¹⁸, 8, F₂, 3, 14) (dual of [(8, 3), 6, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, 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.