Information on Result #702861
Linear OA(2151, 1023, F2, 31) (dual of [1023, 872, 32]-code), using the primitive BCH-code C(I) with length 1023 = 210−1, defining interval I = {−30,−29,…,0}, and designed minimum distance d ≥ |I|+1 = 32
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2183, 1055, F2, 37) (dual of [1055, 872, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2182, 1050, F2, 37) (dual of [1050, 868, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(2198, 1070, F2, 38) (dual of [1070, 872, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(2198, 1067, F2, 39) (dual of [1067, 869, 40]-code) | [i] | ✔ | |
| 5 | Linear OA(2213, 1085, F2, 40) (dual of [1085, 872, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(2213, 1082, F2, 41) (dual of [1082, 869, 42]-code) | [i] | ✔ | |
| 7 | Linear OOA(2151, 341, F2, 3, 31) (dual of [(341, 3), 872, 32]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2151, 204, F2, 5, 31) (dual of [(204, 5), 869, 32]-NRT-code) | [i] | ||
| 9 | Linear OOA(2151, 170, F2, 6, 31) (dual of [(170, 6), 869, 32]-NRT-code) | [i] | ||
| 10 | Linear OOA(2151, 146, F2, 7, 31) (dual of [(146, 7), 871, 32]-NRT-code) | [i] | ||