MinT - Information on Result #2610094

Information on Result #2610094

Linear OOA(2⁵⁸, 21, F₂, 3, 40) (dual of [(21, 3), 5, 41]-NRT-code), using strength reduction based on linear OOA(2⁵⁸, 21, F₂, 3, 41) (dual of [(21, 3), 5, 42]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(2¹⁶, 7, F₂, 3, 13) (dual of [(7, 3), 5, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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.