Information on Result #1163810

Linear OOA(2252, 62, F2, 7, 129) (dual of [(62, 7), 182, 130]-NRT-code), using construction X applied to AG(7;F,103P) ⊂ AG(7;F,125P) based on
  1. linear OOA(2198, 48, F2, 7, 129) (dual of [(48, 7), 138, 130]-NRT-code), using algebraic-geometric NRT-code AG(7;F,103P) 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(2154, 48, F2, 7, 85) (dual of [(48, 7), 182, 86]-NRT-code), using algebraic-geometric NRT-code AG(7;F,125P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(254, 14, F2, 7, 43) (dual of [(14, 7), 44, 44]-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(2252, 62, F2, 7, 128) (dual of [(62, 7), 182, 129]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2252, 62, F2, 7, 127) (dual of [(62, 7), 182, 128]-NRT-code) [i]
3Linear OOA(2252, 62, F2, 7, 126) (dual of [(62, 7), 182, 127]-NRT-code) [i]
4Linear OOA(2252, 62, F2, 7, 125) (dual of [(62, 7), 182, 126]-NRT-code) [i]
5Linear OOA(2253, 62, F2, 7, 129) (dual of [(62, 7), 181, 130]-NRT-code) [i]OOA Duplication
6Linear OOA(2255, 62, F2, 7, 129) (dual of [(62, 7), 179, 130]-NRT-code) [i]