Information on Result #702853
Linear OA(2161, 1023, F2, 33) (dual of [1023, 862, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2208, 1085, F2, 38) (dual of [1085, 877, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2178, 1040, F2, 37) (dual of [1040, 862, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2193, 1055, F2, 39) (dual of [1055, 862, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2208, 1070, F2, 41) (dual of [1070, 862, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2223, 1080, F2, 42) (dual of [1080, 857, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(2239, 1095, F2, 44) (dual of [1095, 856, 45]-code) | [i] | ✔ | |
| 7 | Linear OOA(2161, 341, F2, 3, 33) (dual of [(341, 3), 862, 34]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2161, 170, F2, 6, 33) (dual of [(170, 6), 859, 34]-NRT-code) | [i] | ||
| 9 | Linear OOA(2161, 146, F2, 7, 33) (dual of [(146, 7), 861, 34]-NRT-code) | [i] | ||