Information on Result #701216
Linear OA(531, 62, F5, 16) (dual of [62, 31, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 17
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(535, 66, F5, 18) (dual of [66, 31, 19]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(541, 78, F5, 18) (dual of [78, 37, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(539, 76, F5, 17) (dual of [76, 37, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(537, 71, F5, 17) (dual of [71, 34, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(539, 72, F5, 18) (dual of [72, 33, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(538, 69, F5, 19) (dual of [69, 31, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(543, 74, F5, 20) (dual of [74, 31, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(542, 71, F5, 20) (dual of [71, 29, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(549, 80, F5, 22) (dual of [80, 31, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(544, 75, F5, 21) (dual of [75, 31, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(542, 73, F5, 20) (dual of [73, 31, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(550, 81, F5, 23) (dual of [81, 31, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(548, 79, F5, 22) (dual of [79, 31, 23]-code) | [i] | ✔ | |
| 14 | Linear OOA(531, 31, F5, 2, 16) (dual of [(31, 2), 31, 17]-NRT-code) | [i] | OOA Folding | |