MinT - Information on Result #2992449

Information on Result #2992449

Linear OOA(2²⁵³, 32, F₂, 8, 227) (dual of [(32, 8), 3, 228]-NRT-code), using strength reduction based on linear OOA(2²⁵³, 32, F₂, 8, 231) (dual of [(32, 8), 3, 232]-NRT-code), using

repeating each code word 8 times [i] based on linear OOA(2²⁹, 4, F₂, 8, 28) (dual of [(4, 8), 3, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁹, 5, F₂, 8, 28) (dual of [(5, 8), 11, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,11P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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.