Information on Result #1578000
Linear OOA(25624, 323, F256, 3, 18) (dual of [(323, 3), 945, 19]-NRT-code), using construction X applied to AG(3;F,941P) ⊂ AG(3;F,946P) based on
- linear OOA(25620, 320, F256, 3, 18) (dual of [(320, 3), 940, 19]-NRT-code), using algebraic-geometric NRT-code AG(3;F,941P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25615, 320, F256, 3, 13) (dual of [(320, 3), 945, 14]-NRT-code), using algebraic-geometric NRT-code AG(3;F,946P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321 (see above)
- linear OOA(2564, 3, F256, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2564, 256, F256, 3, 4) (dual of [(256, 3), 764, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;764,256) [i]
- discarding factors / shortening the dual code based on linear OOA(2564, 256, F256, 3, 4) (dual of [(256, 3), 764, 5]-NRT-code), using
Mode: 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(25624, 323, F256, 3, 17) (dual of [(323, 3), 945, 18]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(6432, 323, S64, 3, 18) | [i] | Discarding Parts of the Base for OOAs | |
| 3 | OOA(12828, 323, S128, 3, 18) | [i] | ||