Information on Result #1149584

Linear OOA(2256, 60, F2, 6, 147) (dual of [(60, 6), 104, 148]-NRT-code), using construction X applied to AG(6;F,70P) ⊂ AG(6;F,86P) based on
  1. linear OOA(2216, 48, F2, 6, 147) (dual of [(48, 6), 72, 148]-NRT-code), using algebraic-geometric NRT-code AG(6;F,70P) 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(2184, 48, F2, 6, 115) (dual of [(48, 6), 104, 116]-NRT-code), using algebraic-geometric NRT-code AG(6;F,86P) 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(2256, 60, F2, 6, 146) (dual of [(60, 6), 104, 147]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2256, 60, F2, 6, 145) (dual of [(60, 6), 104, 146]-NRT-code) [i]
3Linear OOA(2256, 60, F2, 6, 144) (dual of [(60, 6), 104, 145]-NRT-code) [i]
4Linear OOA(2257, 60, F2, 6, 147) (dual of [(60, 6), 103, 148]-NRT-code) [i]OOA Duplication
5Linear OOA(2259, 60, F2, 6, 147) (dual of [(60, 6), 101, 148]-NRT-code) [i]