Information on Result #1149341

Linear OOA(2257, 57, F2, 6, 158) (dual of [(57, 6), 85, 159]-NRT-code), using construction X applied to AG(6;F,64P) ⊂ AG(6;F,77P) based on
  1. linear OOA(2228, 48, F2, 6, 159) (dual of [(48, 6), 60, 160]-NRT-code), using algebraic-geometric NRT-code AG(6;F,64P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2202, 48, F2, 6, 133) (dual of [(48, 6), 86, 134]-NRT-code), using algebraic-geometric NRT-code AG(6;F,77P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(229, 9, F2, 6, 24) (dual of [(9, 6), 25, 25]-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(2257, 57, F2, 6, 157) (dual of [(57, 6), 85, 158]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2257, 57, F2, 6, 156) (dual of [(57, 6), 85, 157]-NRT-code) [i]