MinT - Information on Result #2909713

Information on Result #2909713

Linear OOA(2¹⁶⁴, 28, F₂, 6, 137) (dual of [(28, 6), 4, 138]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁴, 28, F₂, 6, 139) (dual of [(28, 6), 4, 140]-NRT-code), using

repeating each code word 7 times [i] based on linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,10P) [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.