Information on Result #1092746

Linear OOA(2183, 56, F2, 4, 95) (dual of [(56, 4), 41, 96]-NRT-code), using construction X applied to AG(4;F,12P) ⊂ AG(4;F,16P) based on
  1. linear OOA(2149, 42, F2, 4, 95) (dual of [(42, 4), 19, 96]-NRT-code), using algebraic-geometric NRT-code AG(4;F,12P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2125, 42, F2, 4, 71) (dual of [(42, 4), 43, 72]-NRT-code), using algebraic-geometric NRT-code AG(4;F,16P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(234, 14, F2, 4, 23) (dual of [(14, 4), 22, 24]-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(2183, 28, F2, 7, 95) (dual of [(28, 7), 13, 96]-NRT-code) [i]OOA Folding
2Linear OOA(2183, 28, F2, 8, 95) (dual of [(28, 8), 41, 96]-NRT-code) [i]