Information on Result #1178616

Linear OOA(2255, 58, F2, 8, 143) (dual of [(58, 8), 209, 144]-NRT-code), using construction X applied to AG(8;F,120P) ⊂ AG(8;F,139P) based on
  1. linear OOA(2212, 48, F2, 8, 143) (dual of [(48, 8), 172, 144]-NRT-code), using algebraic-geometric NRT-code AG(8;F,120P) 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(2174, 48, F2, 8, 105) (dual of [(48, 8), 210, 106]-NRT-code), using algebraic-geometric NRT-code AG(8;F,139P) with degP = 2 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48 (see above)
  3. linear OOA(243, 10, F2, 8, 37) (dual of [(10, 8), 37, 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(2255, 58, F2, 8, 142) (dual of [(58, 8), 209, 143]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2255, 58, F2, 8, 141) (dual of [(58, 8), 209, 142]-NRT-code) [i]
3Linear OOA(2255, 58, F2, 8, 140) (dual of [(58, 8), 209, 141]-NRT-code) [i]
4Linear OOA(2255, 58, F2, 8, 139) (dual of [(58, 8), 209, 140]-NRT-code) [i]