Information on Result #1092994

Linear OOA(2198, 58, F2, 4, 106) (dual of [(58, 4), 34, 107]-NRT-code), using construction X applied to AG(4;F,42P) ⊂ AG(4;F,51P) based on
  1. linear OOA(2176, 48, F2, 4, 107) (dual of [(48, 4), 16, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,42P) 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(2158, 48, F2, 4, 89) (dual of [(48, 4), 34, 90]-NRT-code), using algebraic-geometric NRT-code AG(4;F,51P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(222, 10, F2, 4, 16) (dual of [(10, 4), 18, 17]-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(2198, 58, F2, 4, 105) (dual of [(58, 4), 34, 106]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2198, 58, F2, 4, 104) (dual of [(58, 4), 34, 105]-NRT-code) [i]
3Linear OOA(2198, 58, F2, 4, 103) (dual of [(58, 4), 34, 104]-NRT-code) [i]
4Linear OOA(2198, 29, F2, 7, 106) (dual of [(29, 7), 5, 107]-NRT-code) [i]OOA Folding
5Linear OOA(2198, 29, F2, 8, 106) (dual of [(29, 8), 34, 107]-NRT-code) [i]