Information on Result #1178642

Linear OOA(2229, 58, F2, 8, 117) (dual of [(58, 8), 235, 118]-NRT-code), using construction X applied to AG(8;F,133P) ⊂ AG(8;F,152P) based on
  1. linear OOA(2186, 48, F2, 8, 117) (dual of [(48, 8), 198, 118]-NRT-code), using algebraic-geometric NRT-code AG(8;F,133P) 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(2148, 48, F2, 8, 79) (dual of [(48, 8), 236, 80]-NRT-code), using algebraic-geometric NRT-code AG(8;F,152P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(243, 10, F2, 8, 37) (dual of [(10, 8), 37, 38]-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(2229, 58, F2, 8, 116) (dual of [(58, 8), 235, 117]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2229, 58, F2, 8, 115) (dual of [(58, 8), 235, 116]-NRT-code) [i]
3Linear OOA(2229, 58, F2, 8, 114) (dual of [(58, 8), 235, 115]-NRT-code) [i]
4Linear OOA(2229, 58, F2, 8, 113) (dual of [(58, 8), 235, 114]-NRT-code) [i]