Information on Result #686192
Linear OA(885, 2097153, F8, 13) (dual of [2097153, 2097068, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8100, 2097168, F8, 15) (dual of [2097168, 2097068, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8102, 2097163, F8, 17) (dual of [2097163, 2097061, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(8103, 2097171, F8, 17) (dual of [2097171, 2097068, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(8120, 2097188, F8, 19) (dual of [2097188, 2097068, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(8140, 2097208, F8, 21) (dual of [2097208, 2097068, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(8156, 2097217, F8, 23) (dual of [2097217, 2097061, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(8159, 2097227, F8, 23) (dual of [2097227, 2097068, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(8100, 2097169, F8, 15) (dual of [2097169, 2097069, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |