Information on Result #1146562

Linear OOA(284, 23, F2, 6, 54) (dual of [(23, 6), 54, 55]-NRT-code), using construction X applied to AG(6;F,65P) ⊂ AG(6;F,75P) based on
  1. linear OOA(275, 20, F2, 6, 54) (dual of [(20, 6), 45, 55]-NRT-code), using algebraic-geometric NRT-code AG(6;F,65P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(265, 20, F2, 6, 44) (dual of [(20, 6), 55, 45]-NRT-code), using algebraic-geometric NRT-code AG(6;F,75P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(29, 3, F2, 6, 9) (dual of [(3, 6), 9, 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(2260, 64, F2, 6, 122) (dual of [(64, 6), 124, 123]-NRT-code) [i]Construction X with Algebraic-Geometric NRT-Codes