Information on Result #1163757

Linear OOA(2218, 60, F2, 7, 103) (dual of [(60, 7), 202, 104]-NRT-code), using construction X applied to AG(7;F,116P) ⊂ AG(7;F,135P) based on
  1. linear OOA(2172, 48, F2, 7, 103) (dual of [(48, 7), 164, 104]-NRT-code), using algebraic-geometric NRT-code AG(7;F,116P) 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(2134, 48, F2, 7, 65) (dual of [(48, 7), 202, 66]-NRT-code), using algebraic-geometric NRT-code AG(7;F,135P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(246, 12, F2, 7, 37) (dual of [(12, 7), 38, 38]-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(2218, 60, F2, 7, 102) (dual of [(60, 7), 202, 103]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2218, 60, F2, 7, 101) (dual of [(60, 7), 202, 102]-NRT-code) [i]
3Linear OOA(2218, 60, F2, 7, 100) (dual of [(60, 7), 202, 101]-NRT-code) [i]
4Linear OOA(2218, 60, F2, 7, 99) (dual of [(60, 7), 202, 100]-NRT-code) [i]
5Linear OOA(2219, 60, F2, 7, 103) (dual of [(60, 7), 201, 104]-NRT-code) [i]OOA Duplication
6Linear OOA(2221, 60, F2, 7, 103) (dual of [(60, 7), 199, 104]-NRT-code) [i]