Information on Result #924419

Linear OOA(8111, 111, F8, 2, 60) (dual of [(111, 2), 111, 61]-NRT-code), using construction X applied to AG(2;F,133P) ⊂ AG(2;F,147P) based on
  1. linear OOA(897, 97, F8, 2, 60) (dual of [(97, 2), 97, 61]-NRT-code), using algebraic-geometric NRT-code AG(2;F,133P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
  2. linear OOA(883, 97, F8, 2, 46) (dual of [(97, 2), 111, 47]-NRT-code), using algebraic-geometric NRT-code AG(2;F,147P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
  3. linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-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(8111, 111, F8, 2, 59) (dual of [(111, 2), 111, 60]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8113, 112, F8, 2, 60) (dual of [(112, 2), 111, 61]-NRT-code) [i]NRT-Code Embedding in Larger Space