Information on Result #702560
Linear OA(2199, 511, F2, 47) (dual of [511, 312, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48
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]
- 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(2210, 531, F2, 49) (dual of [531, 321, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2237, 549, F2, 55) (dual of [549, 312, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(2236, 541, F2, 55) (dual of [541, 305, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(2251, 561, F2, 56) (dual of [561, 310, 57]-code) | [i] | ✔ | |
| 5 | Linear OA(2251, 558, F2, 57) (dual of [558, 307, 58]-code) | [i] | ✔ | |
| 6 | Linear OOA(2199, 170, F2, 3, 47) (dual of [(170, 3), 311, 48]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2199, 102, F2, 5, 47) (dual of [(102, 5), 311, 48]-NRT-code) | [i] | ||