Information on Result #2292348
Linear OA(25650, large, F256, 16) (dual of [large, large−50, 17]-code), using 4 times code embedding in larger space based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(25650, 6364394, F256, 2, 16) (dual of [(6364394, 2), 12728738, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25650, 6364394, F256, 3, 16) (dual of [(6364394, 3), 19093132, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(25650, 6364394, F256, 4, 16) (dual of [(6364394, 4), 25457526, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(25650, 6364394, F256, 5, 16) (dual of [(6364394, 5), 31821920, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(25650, 6364394, F256, 6, 16) (dual of [(6364394, 6), 38186314, 17]-NRT-code) | [i] | ||
| 6 | Digital (34, 50, 6364394)-net over F256 | [i] | ||