Information on Result #716892
Linear OA(8139, 511, F8, 53) (dual of [511, 372, 54]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [0,52], and designed minimum distance d ≥ |I|+1 = 54
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]
- 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(8147, 525, F8, 55) (dual of [525, 378, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(8142, 517, F8, 54) (dual of [517, 375, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(8151, 527, F8, 56) (dual of [527, 376, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(8146, 521, F8, 55) (dual of [521, 375, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(8150, 523, F8, 56) (dual of [523, 373, 57]-code) | [i] | ✔ | |
| 6 | Linear OA(8173, 547, F8, 61) (dual of [547, 374, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(8172, 545, F8, 61) (dual of [545, 373, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(8171, 542, F8, 61) (dual of [542, 371, 62]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 548, F8, 61) (dual of [548, 375, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(8145, 517, F8, 55) (dual of [517, 372, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(8149, 521, F8, 56) (dual of [521, 372, 57]-code) | [i] | ✔ | |