Information on Result #1128302

Linear OOA(2254, 62, F2, 5, 145) (dual of [(62, 5), 56, 146]-NRT-code), using construction X applied to AG(5;F,47P) ⊂ AG(5;F,62P) based on
  1. linear OOA(2214, 48, F2, 5, 145) (dual of [(48, 5), 26, 146]-NRT-code), using algebraic-geometric NRT-code AG(5;F,47P) 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(2184, 48, F2, 5, 115) (dual of [(48, 5), 56, 116]-NRT-code), using algebraic-geometric NRT-code AG(5;F,62P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(240, 14, F2, 5, 29) (dual of [(14, 5), 30, 30]-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(2254, 62, F2, 5, 144) (dual of [(62, 5), 56, 145]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2254, 62, F2, 5, 143) (dual of [(62, 5), 56, 144]-NRT-code) [i]
3Linear OOA(2254, 62, F2, 5, 142) (dual of [(62, 5), 56, 143]-NRT-code) [i]
4Linear OOA(2255, 62, F2, 5, 145) (dual of [(62, 5), 55, 146]-NRT-code) [i]OOA Duplication
5Linear OOA(2257, 62, F2, 5, 145) (dual of [(62, 5), 53, 146]-NRT-code) [i]