Information on Result #702980
Linear OA(2196, 1023, F2, 41) (dual of [1023, 827, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2228, 1075, F2, 45) (dual of [1075, 847, 46]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2208, 1045, F2, 43) (dual of [1045, 837, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(2243, 1085, F2, 46) (dual of [1085, 842, 47]-code) | [i] | ✔ | |
| 4 | Linear OA(2223, 1060, F2, 45) (dual of [1060, 837, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(2238, 1070, F2, 46) (dual of [1070, 832, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(2218, 1045, F2, 45) (dual of [1045, 827, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(2233, 1060, F2, 47) (dual of [1060, 827, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(2248, 1070, F2, 48) (dual of [1070, 822, 49]-code) | [i] | ✔ | |
| 9 | Linear OA(2248, 1075, F2, 49) (dual of [1075, 827, 50]-code) | [i] | ✔ | |
| 10 | Linear OOA(2196, 341, F2, 3, 41) (dual of [(341, 3), 827, 42]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2196, 204, F2, 5, 41) (dual of [(204, 5), 824, 42]-NRT-code) | [i] | ||
| 12 | Linear OOA(2196, 170, F2, 6, 41) (dual of [(170, 6), 824, 42]-NRT-code) | [i] | ||
| 13 | Linear OOA(2196, 146, F2, 7, 41) (dual of [(146, 7), 826, 42]-NRT-code) | [i] | ||