Information on Result #1122638

Linear OOA(2255, 56, F2, 5, 165) (dual of [(56, 5), 25, 166]-NRT-code), using construction X applied to AG(5;F,0P) ⊂ AG(5;F,78P) based on
  1. linear OOA(2204, 41, F2, 5, 204) (dual of [(41, 5), 1, 205]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using
  2. linear OOA(2180, 41, F2, 5, 126) (dual of [(41, 5), 25, 127]-NRT-code), using algebraic-geometric NRT-code AG(5;F,78P) [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(251, 15, F2, 5, 38) (dual of [(15, 5), 24, 39]-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(2255, 56, F2, 5, 164) (dual of [(56, 5), 25, 165]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2255, 56, F2, 5, 163) (dual of [(56, 5), 25, 164]-NRT-code) [i]
3Linear OOA(2255, 56, F2, 5, 162) (dual of [(56, 5), 25, 163]-NRT-code) [i]
4Linear OOA(2255, 56, F2, 5, 161) (dual of [(56, 5), 25, 162]-NRT-code) [i]