Information on Result #2270496
Linear OA(499, large, F4, 11) (dual of [large, large−99, 12]-code), using 2 times code embedding in larger space based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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(499, 4970430, F4, 2, 11) (dual of [(4970430, 2), 9940761, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(499, 4970430, F4, 3, 11) (dual of [(4970430, 3), 14911191, 12]-NRT-code) | [i] | ||
| 3 | Digital (88, 99, 4970430)-net over F4 | [i] | ||