Information on Result #1128220

Linear OOA(2186, 60, F2, 5, 83) (dual of [(60, 5), 114, 84]-NRT-code), using construction X applied to AG(5;F,78P) ⊂ AG(5;F,91P) based on
  1. linear OOA(2152, 48, F2, 5, 83) (dual of [(48, 5), 88, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,78P) 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(2126, 48, F2, 5, 57) (dual of [(48, 5), 114, 58]-NRT-code), using algebraic-geometric NRT-code AG(5;F,91P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(234, 12, F2, 5, 25) (dual of [(12, 5), 26, 26]-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(2186, 60, F2, 5, 82) (dual of [(60, 5), 114, 83]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2186, 60, F2, 5, 81) (dual of [(60, 5), 114, 82]-NRT-code) [i]
3Linear OOA(2187, 60, F2, 5, 83) (dual of [(60, 5), 113, 84]-NRT-code) [i]OOA Duplication
4Linear OOA(2189, 60, F2, 5, 83) (dual of [(60, 5), 111, 84]-NRT-code) [i]