Information on Result #1088309

Linear OOA(261, 24, F2, 4, 32) (dual of [(24, 4), 35, 33]-NRT-code), using construction X applied to AG(4;F,43P) ⊂ AG(4;F,53P) based on
  1. linear OOA(251, 19, F2, 4, 32) (dual of [(19, 4), 25, 33]-NRT-code), using algebraic-geometric NRT-code AG(4;F,43P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(241, 19, F2, 4, 22) (dual of [(19, 4), 35, 23]-NRT-code), using algebraic-geometric NRT-code AG(4;F,53P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(210, 5, F2, 4, 9) (dual of [(5, 4), 10, 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(261, 24, F2, 4, 31) (dual of [(24, 4), 35, 32]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(261, 12, F2, 7, 32) (dual of [(12, 7), 23, 33]-NRT-code) [i]OOA Folding
3Linear OOA(261, 12, F2, 8, 32) (dual of [(12, 8), 35, 33]-NRT-code) [i]