Information on Result #1121359

Linear OOA(293, 23, F2, 5, 64) (dual of [(23, 5), 22, 65]-NRT-code), using construction X applied to AG(5;F,30P) ⊂ AG(5;F,40P) based on
  1. linear OOA(283, 19, F2, 5, 64) (dual of [(19, 5), 12, 65]-NRT-code), using algebraic-geometric NRT-code AG(5;F,30P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(273, 19, F2, 5, 54) (dual of [(19, 5), 22, 55]-NRT-code), using algebraic-geometric NRT-code AG(5;F,40P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(210, 4, F2, 5, 9) (dual of [(4, 5), 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(293, 23, F2, 5, 63) (dual of [(23, 5), 22, 64]-NRT-code) [i]Strength Reduction for OOAs