Information on Result #702684
Linear OA(2100, 1023, F2, 20) (dual of [1023, 923, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(2142, 1062, F2, 26) (dual of [1062, 920, 27]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2116, 1049, F2, 23) (dual of [1049, 933, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(2113, 1046, F2, 22) (dual of [1046, 933, 23]-code) | [i] | ✔ | |
| 4 | Linear OA(2132, 1065, F2, 25) (dual of [1065, 933, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2128, 1061, F2, 24) (dual of [1061, 933, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(2126, 1049, F2, 25) (dual of [1049, 923, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2123, 1046, F2, 24) (dual of [1046, 923, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(2142, 1065, F2, 27) (dual of [1065, 923, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(2138, 1061, F2, 26) (dual of [1061, 923, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(2153, 1076, F2, 28) (dual of [1076, 923, 29]-code) | [i] | ✔ | |
| 11 | Linear OOA(2100, 341, F2, 3, 20) (dual of [(341, 3), 923, 21]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2100, 204, F2, 5, 20) (dual of [(204, 5), 920, 21]-NRT-code) | [i] | ||
| 13 | Linear OOA(2100, 170, F2, 6, 20) (dual of [(170, 6), 920, 21]-NRT-code) | [i] | ||
| 14 | Linear OOA(2100, 146, F2, 7, 20) (dual of [(146, 7), 922, 21]-NRT-code) | [i] | ||