Information on Result #1092741

Linear OOA(2193, 56, F2, 4, 105) (dual of [(56, 4), 31, 106]-NRT-code), using construction X applied to AG(4;F,10P) ⊂ AG(4;F,14P) based on
  1. linear OOA(2161, 42, F2, 4, 107) (dual of [(42, 4), 7, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,10P) 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(2137, 42, F2, 4, 83) (dual of [(42, 4), 31, 84]-NRT-code), using algebraic-geometric NRT-code AG(4;F,14P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(232, 14, F2, 4, 21) (dual of [(14, 4), 24, 22]-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(2193, 28, F2, 8, 105) (dual of [(28, 8), 31, 106]-NRT-code) [i]OOA Folding