Information on Result #924978

Linear OOA(8160, 125, F8, 2, 93) (dual of [(125, 2), 90, 94]-NRT-code), using construction X applied to AG(2;F,100P) ⊂ AG(2;F,126P) based on
  1. linear OOA(8130, 97, F8, 2, 93) (dual of [(97, 2), 64, 94]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(8104, 97, F8, 2, 67) (dual of [(97, 2), 90, 68]-NRT-code), using algebraic-geometric NRT-code AG(2;F,126P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(830, 28, F8, 2, 25) (dual of [(28, 2), 26, 26]-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(8160, 125, F8, 2, 92) (dual of [(125, 2), 90, 93]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8162, 126, F8, 2, 93) (dual of [(126, 2), 90, 94]-NRT-code) [i]NRT-Code Embedding in Larger Space