Information on Result #711001
Linear OA(540, 624, F5, 12) (dual of [624, 584, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(540, 596, F5, 2, 12) (dual of [(596, 2), 1152, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(540, 596, F5, 3, 12) (dual of [(596, 3), 1748, 13]-NRT-code) | [i] | ||
| 3 | Digital (28, 40, 596)-net over F5 | [i] | ||
| 4 | Linear OA(547, 639, F5, 14) (dual of [639, 592, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(567, 659, F5, 18) (dual of [659, 592, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(566, 657, F5, 18) (dual of [657, 591, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(565, 654, F5, 18) (dual of [654, 589, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(573, 664, F5, 19) (dual of [664, 591, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(572, 661, F5, 19) (dual of [661, 589, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(571, 658, F5, 19) (dual of [658, 587, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(570, 653, F5, 19) (dual of [653, 583, 20]-code) | [i] | ✔ | |
| 12 | Linear OA(575, 656, F5, 21) (dual of [656, 581, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(581, 660, F5, 22) (dual of [660, 579, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(586, 665, F5, 23) (dual of [665, 579, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(593, 670, F5, 24) (dual of [670, 577, 25]-code) | [i] | ✔ | |