MinT - Information on Result #1169063

Information on Result #1169063

Linear OOA(2¹¹⁷, 15, F₂, 8, 100) (dual of [(15, 8), 3, 101]-NRT-code), using OOA 2-folding based on linear OOA(2¹¹⁷, 30, F₂, 4, 100) (dual of [(30, 4), 3, 101]-NRT-code), using

strength reduction [i] based on linear OOA(2¹¹⁷, 30, F₂, 4, 101) (dual of [(30, 4), 3, 102]-NRT-code), using
- repeating each code word 6 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,3P) [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.