Information on Result #937984
Linear OOA(327, 21, F3, 2, 16) (dual of [(21, 2), 15, 17]-NRT-code), using construction X applied to AG(2;F,7P) ⊂ AG(2;F,8P) based on
- linear OOA(325, 19, F3, 2, 16) (dual of [(19, 2), 13, 17]-NRT-code), using algebraic-geometric NRT-code AG(2;F,7P) with degPÂ =Â 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19, using an explicitly constructive algebraic function field [i]
- linear OOA(322, 19, F3, 2, 13) (dual of [(19, 2), 16, 14]-NRT-code), using algebraic-geometric NRT-code AG(2;F,8P) with degPÂ =Â 3 [i] based on function field F/F3 with g(F) = 9 and N(F) ≥ 19 (see above)
- linear OOA(32, 2, F3, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,3) [i]
- discarding factors / shortening the dual code based on linear OOA(32, 3, F3, 2, 2) (dual of [(3, 2), 4, 3]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(327, 10, F3, 4, 16) (dual of [(10, 4), 13, 17]-NRT-code) | [i] | OOA Folding | |