Information on Result #937979
Linear OOA(329, 21, F3, 2, 18) (dual of [(21, 2), 13, 19]-NRT-code), using construction X applied to AG(2;F,6P) ⊂ AG(2;F,7P) based on
- linear OOA(328, 19, F3, 2, 19) (dual of [(19, 2), 10, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,6P) 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(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 (see above)
- linear OOA(31, 2, F3, 2, 1) (dual of [(2, 2), 3, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 2, 1) for arbitrarily large s, 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(328, 20, F3, 2, 17) (dual of [(20, 2), 12, 18]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(329, 10, F3, 4, 18) (dual of [(10, 4), 11, 19]-NRT-code) | [i] | OOA Folding | |