Information on Result #1149693

Linear OOA(2215, 62, F2, 6, 98) (dual of [(62, 6), 157, 99]-NRT-code), using construction X applied to AG(6;F,94P) ⊂ AG(6;F,113P) based on
  1. linear OOA(2168, 48, F2, 6, 99) (dual of [(48, 6), 120, 100]-NRT-code), using algebraic-geometric NRT-code AG(6;F,94P) 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(2130, 48, F2, 6, 61) (dual of [(48, 6), 158, 62]-NRT-code), using algebraic-geometric NRT-code AG(6;F,113P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(247, 14, F2, 6, 36) (dual of [(14, 6), 37, 37]-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(2215, 62, F2, 6, 97) (dual of [(62, 6), 157, 98]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2215, 62, F2, 6, 96) (dual of [(62, 6), 157, 97]-NRT-code) [i]