Information on Result #1149454

Linear OOA(2232, 58, F2, 6, 130) (dual of [(58, 6), 116, 131]-NRT-code), using construction X applied to AG(6;F,78P) ⊂ AG(6;F,92P) 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(2172, 48, F2, 6, 103) (dual of [(48, 6), 116, 104]-NRT-code), using algebraic-geometric NRT-code AG(6;F,92P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(232, 10, F2, 6, 26) (dual of [(10, 6), 28, 27]-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(2232, 58, F2, 6, 129) (dual of [(58, 6), 116, 130]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2232, 58, F2, 6, 128) (dual of [(58, 6), 116, 129]-NRT-code) [i]
3Linear OOA(2232, 58, F2, 6, 127) (dual of [(58, 6), 116, 128]-NRT-code) [i]