Information on Result #1032189
Linear OOA(457, 36, F4, 3, 36) (dual of [(36, 3), 51, 37]-NRT-code), using construction X applied to AG(3;F,59P) ⊂ AG(3;F,66P) based on
- linear OOA(451, 32, F4, 3, 36) (dual of [(32, 3), 45, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,59P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- linear OOA(444, 32, F4, 3, 29) (dual of [(32, 3), 52, 30]-NRT-code), using algebraic-geometric NRT-code AG(3;F,66P) [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33 (see above)
- linear OOA(46, 4, F4, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;6,4) [i]
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(2114, 72, F2, 3, 36) (dual of [(72, 3), 102, 37]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4213, 166, F4, 3, 72) (dual of [(166, 3), 285, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4215, 166, F4, 3, 73) (dual of [(166, 3), 283, 74]-NRT-code) | [i] | ||