Information on Result #1149242

Linear OOA(2166, 55, F2, 6, 75) (dual of [(55, 6), 164, 76]-NRT-code), using construction X applied to AG(6;F,106P) ⊂ AG(6;F,116P) based on
  1. linear OOA(2144, 48, F2, 6, 75) (dual of [(48, 6), 144, 76]-NRT-code), using algebraic-geometric NRT-code AG(6;F,106P) 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(2124, 48, F2, 6, 55) (dual of [(48, 6), 164, 56]-NRT-code), using algebraic-geometric NRT-code AG(6;F,116P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(222, 7, F2, 6, 19) (dual of [(7, 6), 20, 20]-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(2166, 55, F2, 6, 74) (dual of [(55, 6), 164, 75]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2166, 55, F2, 6, 73) (dual of [(55, 6), 164, 74]-NRT-code) [i]
3Linear OOA(2166, 55, F2, 6, 72) (dual of [(55, 6), 164, 73]-NRT-code) [i]
4Linear OOA(2167, 55, F2, 6, 75) (dual of [(55, 6), 163, 76]-NRT-code) [i]OOA Duplication
5Linear OOA(2169, 55, F2, 6, 75) (dual of [(55, 6), 161, 76]-NRT-code) [i]