Information on Result #1093114

Linear OOA(2205, 64, F2, 4, 96) (dual of [(64, 4), 51, 97]-NRT-code), using construction X applied to AG(4;F,47P) ⊂ AG(4;F,60P) based on
  1. linear OOA(2166, 48, F2, 4, 97) (dual of [(48, 4), 26, 98]-NRT-code), using algebraic-geometric NRT-code AG(4;F,47P) 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(2140, 48, F2, 4, 71) (dual of [(48, 4), 52, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(239, 16, F2, 4, 24) (dual of [(16, 4), 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(2205, 32, F2, 7, 96) (dual of [(32, 7), 19, 97]-NRT-code) [i]OOA Folding
2Linear OOA(2205, 32, F2, 8, 96) (dual of [(32, 8), 51, 97]-NRT-code) [i]