Information on Result #2280978
Linear OA(8123, large, F8, 18) (dual of [large, large−123, 19]-code), using 2 times code embedding in larger space based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(8123, 7473109, F8, 2, 18) (dual of [(7473109, 2), 14946095, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(8123, 7473109, F8, 3, 18) (dual of [(7473109, 3), 22419204, 19]-NRT-code) | [i] | ||
3 | Digital (105, 123, 7473109)-net over F8 | [i] |