Information on Result #1162003

Linear OOA(2192, 44, F2, 7, 128) (dual of [(44, 7), 116, 129]-NRT-code), using construction X applied to AG(7;F,158P) ⊂ AG(7;F,169P) based on
  1. linear OOA(2182, 41, F2, 7, 128) (dual of [(41, 7), 105, 129]-NRT-code), using algebraic-geometric NRT-code AG(7;F,158P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2171, 41, F2, 7, 117) (dual of [(41, 7), 116, 118]-NRT-code), using algebraic-geometric NRT-code AG(7;F,169P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(210, 3, F2, 7, 10) (dual of [(3, 7), 11, 11]-NRT-code), using

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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2192, 44, F2, 7, 127) (dual of [(44, 7), 116, 128]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2192, 44, F2, 7, 126) (dual of [(44, 7), 116, 127]-NRT-code) [i]