Information on Result #714938
Linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(822, 525, F8, 7) (dual of [525, 503, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(822, 517, F8, 8) (dual of [517, 495, 9]-code) | [i] | ✔ | |
| 3 | Linear OA(839, 531, F8, 13) (dual of [531, 492, 14]-code) | [i] | ✔ | |
| 4 | Linear OA(848, 540, F8, 15) (dual of [540, 492, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(843, 535, F8, 14) (dual of [535, 492, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(852, 544, F8, 16) (dual of [544, 492, 17]-code) | [i] | ✔ | |