Information on Result #1128481

Linear OOA(2246, 66, F2, 5, 123) (dual of [(66, 5), 84, 124]-NRT-code), using construction X applied to AG(5;F,58P) ⊂ AG(5;F,76P) based on
  1. linear OOA(2192, 48, F2, 5, 123) (dual of [(48, 5), 48, 124]-NRT-code), using algebraic-geometric NRT-code AG(5;F,58P) 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(2156, 48, F2, 5, 87) (dual of [(48, 5), 84, 88]-NRT-code), using algebraic-geometric NRT-code AG(5;F,76P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(254, 18, F2, 5, 35) (dual of [(18, 5), 36, 36]-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(2246, 66, F2, 5, 122) (dual of [(66, 5), 84, 123]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2246, 66, F2, 5, 121) (dual of [(66, 5), 84, 122]-NRT-code) [i]
3Linear OOA(2247, 66, F2, 5, 123) (dual of [(66, 5), 83, 124]-NRT-code) [i]OOA Duplication