Information on Result #1121498

Linear OOA(291, 25, F2, 5, 56) (dual of [(25, 5), 34, 57]-NRT-code), using construction X applied to AG(5;F,38P) ⊂ AG(5;F,53P) based on
  1. linear OOA(275, 19, F2, 5, 56) (dual of [(19, 5), 20, 57]-NRT-code), using algebraic-geometric NRT-code AG(5;F,38P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(260, 19, F2, 5, 41) (dual of [(19, 5), 35, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,53P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(216, 6, F2, 5, 14) (dual of [(6, 5), 14, 15]-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(291, 25, F2, 5, 55) (dual of [(25, 5), 34, 56]-NRT-code) [i]Strength Reduction for OOAs