Information on Result #1146807

Linear OOA(2197, 44, F2, 6, 134) (dual of [(44, 6), 67, 135]-NRT-code), using construction X applied to AG(6;F,111P) ⊂ AG(6;F,121P) based on
  1. linear OOA(2188, 41, F2, 6, 134) (dual of [(41, 6), 58, 135]-NRT-code), using algebraic-geometric NRT-code AG(6;F,111P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2178, 41, F2, 6, 124) (dual of [(41, 6), 68, 125]-NRT-code), using algebraic-geometric NRT-code AG(6;F,121P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(29, 3, F2, 6, 9) (dual of [(3, 6), 9, 10]-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(2197, 44, F2, 6, 133) (dual of [(44, 6), 67, 134]-NRT-code) [i]Strength Reduction for OOAs