Information on Result #1690273

Linear OOA(2254, 82, F2, 7, 123) (dual of [(82, 7), 320, 124]-NRT-code), using construction X applied to AG(7;F,429P) ⊂ AG(7;F,440P) based on
  1. linear OOA(2244, 79, F2, 7, 123) (dual of [(79, 7), 309, 124]-NRT-code), using algebraic-geometric NRT-code AG(7;F,429P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80, using
  2. linear OOA(2233, 79, F2, 7, 112) (dual of [(79, 7), 320, 113]-NRT-code), using algebraic-geometric NRT-code AG(7;F,440P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80 (see above)
  3. linear OOA(210, 3, F2, 7, 10) (dual of [(3, 7), 11, 11]-NRT-code), using

Mode: 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(2254, 82, F2, 7, 122) (dual of [(82, 7), 320, 123]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2254, 82, F2, 7, 121) (dual of [(82, 7), 320, 122]-NRT-code) [i]
3Linear OOA(2254, 82, F2, 7, 120) (dual of [(82, 7), 320, 121]-NRT-code) [i]