Information on Result #1128185

Linear OOA(2256, 60, F2, 5, 153) (dual of [(60, 5), 44, 154]-NRT-code), using construction X applied to AG(5;F,43P) ⊂ AG(5;F,56P) based on
  1. linear OOA(2222, 48, F2, 5, 153) (dual of [(48, 5), 18, 154]-NRT-code), using algebraic-geometric NRT-code AG(5;F,43P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2196, 48, F2, 5, 127) (dual of [(48, 5), 44, 128]-NRT-code), using algebraic-geometric NRT-code AG(5;F,56P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(234, 12, F2, 5, 25) (dual of [(12, 5), 26, 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(2256, 60, F2, 5, 152) (dual of [(60, 5), 44, 153]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2256, 60, F2, 5, 151) (dual of [(60, 5), 44, 152]-NRT-code) [i]
3Linear OOA(2256, 60, F2, 5, 150) (dual of [(60, 5), 44, 151]-NRT-code) [i]
4Linear OOA(2257, 60, F2, 5, 153) (dual of [(60, 5), 43, 154]-NRT-code) [i]OOA Duplication
5Linear OOA(2259, 60, F2, 5, 153) (dual of [(60, 5), 41, 154]-NRT-code) [i]