Information on Result #1149204

Linear OOA(2242, 55, F2, 6, 151) (dual of [(55, 6), 88, 152]-NRT-code), using construction X applied to AG(6;F,68P) ⊂ AG(6;F,78P) based on
  1. linear OOA(2220, 48, F2, 6, 151) (dual of [(48, 6), 68, 152]-NRT-code), using algebraic-geometric NRT-code AG(6;F,68P) 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(2200, 48, F2, 6, 131) (dual of [(48, 6), 88, 132]-NRT-code), using algebraic-geometric NRT-code AG(6;F,78P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(222, 7, F2, 6, 19) (dual of [(7, 6), 20, 20]-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(2242, 55, F2, 6, 150) (dual of [(55, 6), 88, 151]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2242, 55, F2, 6, 149) (dual of [(55, 6), 88, 150]-NRT-code) [i]
3Linear OOA(2242, 55, F2, 6, 148) (dual of [(55, 6), 88, 149]-NRT-code) [i]
4Linear OOA(2243, 55, F2, 6, 151) (dual of [(55, 6), 87, 152]-NRT-code) [i]OOA Duplication
5Linear OOA(2245, 55, F2, 6, 151) (dual of [(55, 6), 85, 152]-NRT-code) [i]