Information on Result #1146711

Linear OOA(2242, 44, F2, 6, 179) (dual of [(44, 6), 22, 180]-NRT-code), using construction X applied to AG(6;F,66P) ⊂ AG(6;F,76P) based on
  1. linear OOA(2233, 41, F2, 6, 179) (dual of [(41, 6), 13, 180]-NRT-code), using algebraic-geometric NRT-code AG(6;F,66P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2223, 41, F2, 6, 169) (dual of [(41, 6), 23, 170]-NRT-code), using algebraic-geometric NRT-code AG(6;F,76P) [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(2242, 44, F2, 6, 178) (dual of [(44, 6), 22, 179]-NRT-code) [i]Strength Reduction for OOAs