Information on Result #1177514

Linear OOA(2187, 25, F2, 8, 154) (dual of [(25, 8), 13, 155]-NRT-code), using construction X applied to AG(8;F,0P) ⊂ AG(8;F,33P) based on
  1. linear OOA(2159, 20, F2, 8, 159) (dual of [(20, 8), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(8;F,0P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21, using
  2. linear OOA(2147, 20, F2, 8, 126) (dual of [(20, 8), 13, 127]-NRT-code), using algebraic-geometric NRT-code AG(8;F,33P) [i] based on function field F/F2 with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(228, 5, F2, 8, 27) (dual of [(5, 8), 12, 28]-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(2187, 25, F2, 8, 153) (dual of [(25, 8), 13, 154]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2187, 25, F2, 8, 152) (dual of [(25, 8), 13, 153]-NRT-code) [i]
3Linear OOA(2187, 25, F2, 8, 151) (dual of [(25, 8), 13, 152]-NRT-code) [i]
4Linear OOA(2187, 25, F2, 8, 150) (dual of [(25, 8), 13, 151]-NRT-code) [i]
5Linear OOA(2187, 25, F2, 8, 149) (dual of [(25, 8), 13, 150]-NRT-code) [i]