Information on Result #714491
Linear OA(824, 63, F8, 14) (dual of [63, 39, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15
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.
Compare with Markus Grassl’s online database of code parameters.
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(826, 67, F8, 15) (dual of [67, 41, 16]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(828, 67, F8, 16) (dual of [67, 39, 17]-code) | [i] | ✔ | |
| 3 | Linear OA(8157, 575, F8, 51) (dual of [575, 418, 52]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OA(8154, 575, F8, 50) (dual of [575, 421, 51]-code) | [i] | ||
| 5 | Linear OA(8151, 575, F8, 49) (dual of [575, 424, 50]-code) | [i] | ||
| 6 | Linear OA(8145, 575, F8, 46) (dual of [575, 430, 47]-code) | [i] | ||
| 7 | Linear OA(8142, 575, F8, 45) (dual of [575, 433, 46]-code) | [i] | ||
| 8 | Linear OA(8139, 575, F8, 44) (dual of [575, 436, 45]-code) | [i] | ||
| 9 | Linear OA(8136, 575, F8, 43) (dual of [575, 439, 44]-code) | [i] | ||
| 10 | Linear OA(8133, 575, F8, 42) (dual of [575, 442, 43]-code) | [i] | ||
| 11 | Linear OA(8130, 575, F8, 41) (dual of [575, 445, 42]-code) | [i] | ||