Information on Result #1149564

Linear OOA(2204, 59, F2, 6, 98) (dual of [(59, 6), 150, 99]-NRT-code), using construction X applied to AG(6;F,94P) ⊂ AG(6;F,109P) based on
  1. linear OOA(2168, 48, F2, 6, 99) (dual of [(48, 6), 120, 100]-NRT-code), using algebraic-geometric NRT-code AG(6;F,94P) 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(2138, 48, F2, 6, 69) (dual of [(48, 6), 150, 70]-NRT-code), using algebraic-geometric NRT-code AG(6;F,109P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(236, 11, F2, 6, 28) (dual of [(11, 6), 30, 29]-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(2204, 59, F2, 6, 97) (dual of [(59, 6), 150, 98]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2204, 59, F2, 6, 96) (dual of [(59, 6), 150, 97]-NRT-code) [i]