Information on Result #1149605

Linear OOA(2214, 60, F2, 6, 105) (dual of [(60, 6), 146, 106]-NRT-code), using construction X applied to AG(6;F,91P) ⊂ AG(6;F,107P) based on
  1. linear OOA(2174, 48, F2, 6, 105) (dual of [(48, 6), 114, 106]-NRT-code), using algebraic-geometric NRT-code AG(6;F,91P) 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(2142, 48, F2, 6, 73) (dual of [(48, 6), 146, 74]-NRT-code), using algebraic-geometric NRT-code AG(6;F,107P) 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(2214, 60, F2, 6, 104) (dual of [(60, 6), 146, 105]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2214, 60, F2, 6, 103) (dual of [(60, 6), 146, 104]-NRT-code) [i]
3Linear OOA(2214, 60, F2, 6, 102) (dual of [(60, 6), 146, 103]-NRT-code) [i]
4Linear OOA(2215, 60, F2, 6, 105) (dual of [(60, 6), 145, 106]-NRT-code) [i]OOA Duplication
5Linear OOA(2217, 60, F2, 6, 105) (dual of [(60, 6), 143, 106]-NRT-code) [i]