Information on Result #2281120
Linear OA(8138, large, F8, 20) (dual of [large, large−138, 21]-code), using 1 times code embedding in larger space based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(8138, 8063984, F8, 2, 20) (dual of [(8063984, 2), 16127830, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8138, 8063984, F8, 3, 20) (dual of [(8063984, 3), 24191814, 21]-NRT-code) | [i] | ||
| 3 | Digital (118, 138, 8063984)-net over F8 | [i] | ||