Information on Result #1149601

Linear OOA(2222, 60, F2, 6, 113) (dual of [(60, 6), 138, 114]-NRT-code), using construction X applied to AG(6;F,87P) ⊂ AG(6;F,103P) based on
  1. linear OOA(2182, 48, F2, 6, 113) (dual of [(48, 6), 106, 114]-NRT-code), using algebraic-geometric NRT-code AG(6;F,87P) 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(2150, 48, F2, 6, 81) (dual of [(48, 6), 138, 82]-NRT-code), using algebraic-geometric NRT-code AG(6;F,103P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(240, 12, F2, 6, 31) (dual of [(12, 6), 32, 32]-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, 60, F2, 6, 112) (dual of [(60, 6), 138, 113]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2222, 60, F2, 6, 111) (dual of [(60, 6), 138, 112]-NRT-code) [i]
3Linear OOA(2222, 60, F2, 6, 110) (dual of [(60, 6), 138, 111]-NRT-code) [i]
4Linear OOA(2223, 60, F2, 6, 113) (dual of [(60, 6), 137, 114]-NRT-code) [i]OOA Duplication
5Linear OOA(2225, 60, F2, 6, 113) (dual of [(60, 6), 135, 114]-NRT-code) [i]