Information on Result #721824
Linear OA(1673, 255, F16, 41) (dual of [255, 182, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, 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]
- 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(1675, 259, F16, 42) (dual of [259, 184, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(1693, 283, F16, 47) (dual of [283, 190, 48]-code) | [i] | ✔ | |
| 3 | Linear OA(1681, 265, F16, 44) (dual of [265, 184, 45]-code) | [i] | ✔ | |
| 4 | Linear OA(1692, 280, F16, 47) (dual of [280, 188, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(1691, 277, F16, 47) (dual of [277, 186, 48]-code) | [i] | ✔ | |
| 6 | Linear OA(1687, 271, F16, 46) (dual of [271, 184, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(1694, 278, F16, 48) (dual of [278, 184, 49]-code) | [i] | ✔ | |
| 8 | Linear OA(1677, 259, F16, 43) (dual of [259, 182, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(1680, 262, F16, 44) (dual of [262, 182, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(1683, 265, F16, 45) (dual of [265, 182, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(1686, 268, F16, 46) (dual of [268, 182, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(1689, 271, F16, 47) (dual of [271, 182, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(1692, 274, F16, 48) (dual of [274, 182, 49]-code) | [i] | ✔ | |