Information on Result #918708

Linear OOA(343, 34, F3, 2, 21) (dual of [(34, 2), 25, 22]-NRT-code), using construction X applied to AG(2;F,32P) ⊂ AG(2;F,39P) based on
  1. linear OOA(336, 27, F3, 2, 21) (dual of [(27, 2), 18, 22]-NRT-code), using algebraic-geometric NRT-code AG(2;F,32P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
  2. linear OOA(329, 27, F3, 2, 14) (dual of [(27, 2), 25, 15]-NRT-code), using algebraic-geometric NRT-code AG(2;F,39P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28 (see above)
  3. linear OOA(37, 7, F3, 2, 6) (dual of [(7, 2), 7, 7]-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(345, 35, F3, 2, 21) (dual of [(35, 2), 25, 22]-NRT-code) [i]NRT-Code Embedding in Larger Space
2Linear OOA(343, 17, F3, 4, 21) (dual of [(17, 4), 25, 22]-NRT-code) [i]OOA Folding