Information on Result #1122129

Linear OOA(2214, 46, F2, 5, 150) (dual of [(46, 5), 16, 151]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,54P) based on
  1. linear OOA(2159, 32, F2, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(2144, 32, F2, 5, 105) (dual of [(32, 5), 16, 106]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(255, 14, F2, 5, 44) (dual of [(14, 5), 15, 45]-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(2214, 46, F2, 5, 149) (dual of [(46, 5), 16, 150]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2214, 46, F2, 5, 148) (dual of [(46, 5), 16, 149]-NRT-code) [i]
3Linear OOA(2214, 46, F2, 5, 147) (dual of [(46, 5), 16, 148]-NRT-code) [i]
4Linear OOA(2214, 46, F2, 5, 146) (dual of [(46, 5), 16, 147]-NRT-code) [i]
5Linear OOA(2210, 45, F2, 5, 146) (dual of [(45, 5), 15, 147]-NRT-code) [i]Truncation for OOAs
6Linear OOA(2209, 45, F2, 5, 145) (dual of [(45, 5), 16, 146]-NRT-code) [i]