Information on Result #2246965
Linear OA(572, 15624, F5, 15) (dual of [15624, 15552, 16]-code), using 1 times truncation based on linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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 OA(580, 15635, F5, 15) (dual of [15635, 15555, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(581, 15638, F5, 15) (dual of [15638, 15557, 16]-code) | [i] | ||
| 3 | Linear OA(582, 15649, F5, 15) (dual of [15649, 15567, 16]-code) | [i] | ||
| 4 | Linear OOA(572, 9298, F5, 2, 15) (dual of [(9298, 2), 18524, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(572, 9298, F5, 3, 15) (dual of [(9298, 3), 27822, 16]-NRT-code) | [i] | ||
| 6 | Digital (57, 72, 9298)-net over F5 | [i] | ||
| 7 | Linear OOA(572, 7812, F5, 2, 15) (dual of [(7812, 2), 15552, 16]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(572, 5208, F5, 3, 15) (dual of [(5208, 3), 15552, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(572, 2231, F5, 15, 15) (dual of [(2231, 15), 33393, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |