Information on Result #1707421

Linear OOA(2251, 82, F2, 8, 118) (dual of [(82, 8), 405, 119]-NRT-code), using construction X applied to AG(8;F,513P) ⊂ AG(8;F,526P) based on
  1. linear OOA(2239, 79, F2, 8, 118) (dual of [(79, 8), 393, 119]-NRT-code), using algebraic-geometric NRT-code AG(8;F,513P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80, using
  2. linear OOA(2226, 79, F2, 8, 105) (dual of [(79, 8), 406, 106]-NRT-code), using algebraic-geometric NRT-code AG(8;F,526P) [i] based on function field F/F2 with g(F) = 121 and N(F) ≥ 80 (see above)
  3. linear OOA(212, 3, F2, 8, 12) (dual of [(3, 8), 12, 13]-NRT-code), using

Mode: 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(2251, 82, F2, 8, 117) (dual of [(82, 8), 405, 118]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2251, 82, F2, 8, 116) (dual of [(82, 8), 405, 117]-NRT-code) [i]
3Linear OOA(2251, 82, F2, 8, 115) (dual of [(82, 8), 405, 116]-NRT-code) [i]