Information on Result #1149214

Linear OOA(2222, 55, F2, 6, 131) (dual of [(55, 6), 108, 132]-NRT-code), using construction X applied to AG(6;F,78P) ⊂ AG(6;F,88P) based on
  1. 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, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2180, 48, F2, 6, 111) (dual of [(48, 6), 108, 112]-NRT-code), using algebraic-geometric NRT-code AG(6;F,88P) 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(2222, 55, F2, 6, 130) (dual of [(55, 6), 108, 131]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2222, 55, F2, 6, 129) (dual of [(55, 6), 108, 130]-NRT-code) [i]
3Linear OOA(2222, 55, F2, 6, 128) (dual of [(55, 6), 108, 129]-NRT-code) [i]
4Linear OOA(2223, 55, F2, 6, 131) (dual of [(55, 6), 107, 132]-NRT-code) [i]OOA Duplication
5Linear OOA(2225, 55, F2, 6, 131) (dual of [(55, 6), 105, 132]-NRT-code) [i]