Information on Result #1149607

Linear OOA(2210, 60, F2, 6, 101) (dual of [(60, 6), 150, 102]-NRT-code), using construction X applied to AG(6;F,93P) ⊂ AG(6;F,109P) based on
  1. linear OOA(2170, 48, F2, 6, 101) (dual of [(48, 6), 118, 102]-NRT-code), using algebraic-geometric NRT-code AG(6;F,93P) 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(2138, 48, F2, 6, 69) (dual of [(48, 6), 150, 70]-NRT-code), using algebraic-geometric NRT-code AG(6;F,109P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(240, 12, F2, 6, 31) (dual of [(12, 6), 32, 32]-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(2210, 60, F2, 6, 100) (dual of [(60, 6), 150, 101]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2210, 60, F2, 6, 99) (dual of [(60, 6), 150, 100]-NRT-code) [i]
3Linear OOA(2210, 60, F2, 6, 98) (dual of [(60, 6), 150, 99]-NRT-code) [i]
4Linear OOA(2211, 60, F2, 6, 101) (dual of [(60, 6), 149, 102]-NRT-code) [i]OOA Duplication
5Linear OOA(2213, 60, F2, 6, 101) (dual of [(60, 6), 147, 102]-NRT-code) [i]