Information on Result #1127218

Linear OOA(2141, 44, F2, 5, 82) (dual of [(44, 5), 79, 83]-NRT-code), using construction X applied to AG(5;F,21P) ⊂ AG(5;F,22P) based on
  1. linear OOA(2137, 42, F2, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) 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(2131, 42, F2, 5, 77) (dual of [(42, 5), 79, 78]-NRT-code), using algebraic-geometric NRT-code AG(5;F,22P) with degP = 6 [i] based on function field F/F2 with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(24, 2, F2, 5, 4) (dual of [(2, 5), 6, 5]-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(2141, 44, F2, 5, 81) (dual of [(44, 5), 79, 82]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2140, 43, F2, 5, 81) (dual of [(43, 5), 75, 82]-NRT-code) [i]Truncation for OOAs
3Linear OOA(2139, 43, F2, 5, 80) (dual of [(43, 5), 76, 81]-NRT-code) [i]
4Linear OOA(2138, 43, F2, 5, 79) (dual of [(43, 5), 77, 80]-NRT-code) [i]
5Linear OOA(2137, 43, F2, 5, 78) (dual of [(43, 5), 78, 79]-NRT-code) [i]
6Linear OOA(2138, 44, F2, 4, 79) (dual of [(44, 4), 38, 80]-NRT-code) [i]m-Reduction for OOAs
7Linear OOA(2137, 44, F2, 4, 78) (dual of [(44, 4), 39, 79]-NRT-code) [i]
8Linear OOA(2221, 77, F2, 5, 82) (dual of [(77, 5), 164, 83]-NRT-code) [i](u, u+v)-Construction for OOAs
9Linear OOA(2228, 79, F2, 5, 82) (dual of [(79, 5), 167, 83]-NRT-code) [i]