Information on Result #1178728

Linear OOA(2234, 60, F2, 8, 113) (dual of [(60, 8), 246, 114]-NRT-code), using construction X applied to AG(8;F,135P) ⊂ AG(8;F,157P) based on
  1. linear OOA(2182, 48, F2, 8, 113) (dual of [(48, 8), 202, 114]-NRT-code), using algebraic-geometric NRT-code AG(8;F,135P) 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(2138, 48, F2, 8, 69) (dual of [(48, 8), 246, 70]-NRT-code), using algebraic-geometric NRT-code AG(8;F,157P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(252, 12, F2, 8, 43) (dual of [(12, 8), 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(2234, 60, F2, 8, 112) (dual of [(60, 8), 246, 113]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2234, 60, F2, 8, 111) (dual of [(60, 8), 246, 112]-NRT-code) [i]
3Linear OOA(2234, 60, F2, 8, 110) (dual of [(60, 8), 246, 111]-NRT-code) [i]
4Linear OOA(2234, 60, F2, 8, 109) (dual of [(60, 8), 246, 110]-NRT-code) [i]
5Linear OOA(2235, 60, F2, 8, 113) (dual of [(60, 8), 245, 114]-NRT-code) [i]OOA Duplication
6Linear OOA(2237, 60, F2, 8, 113) (dual of [(60, 8), 243, 114]-NRT-code) [i]