Information on Result #2281388
Linear OA(8172, large, F8, 25) (dual of [large, large−172, 26]-code), using 3 times code embedding in larger space based on linear OA(8169, large, F8, 25) (dual of [large, large−169, 26]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [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(8172, 6976460, F8, 2, 25) (dual of [(6976460, 2), 13952748, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8172, 6976460, F8, 3, 25) (dual of [(6976460, 3), 20929208, 26]-NRT-code) | [i] | ||
| 3 | Digital (147, 172, 6976460)-net over F8 | [i] | ||