Information on Result #1128312

Linear OOA(2234, 62, F2, 5, 125) (dual of [(62, 5), 76, 126]-NRT-code), using construction X applied to AG(5;F,57P) ⊂ AG(5;F,72P) based on
  1. linear OOA(2194, 48, F2, 5, 125) (dual of [(48, 5), 46, 126]-NRT-code), using algebraic-geometric NRT-code AG(5;F,57P) 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(2164, 48, F2, 5, 95) (dual of [(48, 5), 76, 96]-NRT-code), using algebraic-geometric NRT-code AG(5;F,72P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(240, 14, F2, 5, 29) (dual of [(14, 5), 30, 30]-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(2234, 62, F2, 5, 124) (dual of [(62, 5), 76, 125]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2234, 62, F2, 5, 123) (dual of [(62, 5), 76, 124]-NRT-code) [i]
3Linear OOA(2234, 62, F2, 5, 122) (dual of [(62, 5), 76, 123]-NRT-code) [i]
4Linear OOA(2235, 62, F2, 5, 125) (dual of [(62, 5), 75, 126]-NRT-code) [i]OOA Duplication
5Linear OOA(2237, 62, F2, 5, 125) (dual of [(62, 5), 73, 126]-NRT-code) [i]