Information on Result #702769
Linear OA(291, 1023, F2, 19) (dual of [1023, 932, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2103, 1045, F2, 21) (dual of [1045, 942, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2118, 1060, F2, 23) (dual of [1060, 942, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(2113, 1045, F2, 23) (dual of [1045, 932, 24]-code) | [i] | ✔ | |
| 4 | Linear OA(2128, 1060, F2, 25) (dual of [1060, 932, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2143, 1075, F2, 27) (dual of [1075, 932, 28]-code) | [i] | ✔ | |
| 6 | Linear OOA(291, 341, F2, 3, 19) (dual of [(341, 3), 932, 20]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(291, 204, F2, 5, 19) (dual of [(204, 5), 929, 20]-NRT-code) | [i] | ||
| 8 | Linear OOA(291, 170, F2, 6, 19) (dual of [(170, 6), 929, 20]-NRT-code) | [i] | ||
| 9 | Linear OOA(291, 146, F2, 7, 19) (dual of [(146, 7), 931, 20]-NRT-code) | [i] | ||