Information on Result #1161668

Linear OOA(2159, 25, F2, 7, 124) (dual of [(25, 7), 16, 125]-NRT-code), using construction X applied to AG(7;F,0P) ⊂ AG(7;F,34P) based on
  1. linear OOA(2132, 19, F2, 7, 132) (dual of [(19, 7), 1, 133]-NRT-code), using algebraic-geometric NRT-code AG(7;F,0P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(2117, 19, F2, 7, 98) (dual of [(19, 7), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(7;F,34P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(227, 6, F2, 7, 25) (dual of [(6, 7), 15, 26]-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(2159, 25, F2, 7, 123) (dual of [(25, 7), 16, 124]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2159, 25, F2, 7, 122) (dual of [(25, 7), 16, 123]-NRT-code) [i]
3Linear OOA(2159, 25, F2, 7, 121) (dual of [(25, 7), 16, 122]-NRT-code) [i]