Information on Result #710909
Linear OA(532, 624, F5, 10) (dual of [624, 592, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11
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(532, 476, F5, 2, 10) (dual of [(476, 2), 920, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(532, 476, F5, 3, 10) (dual of [(476, 3), 1396, 11]-NRT-code) | [i] | ||
| 3 | Digital (22, 32, 476)-net over F5 | [i] | ||
| 4 | Linear OA(553, 657, F5, 14) (dual of [657, 604, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(539, 635, F5, 12) (dual of [635, 596, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(550, 646, F5, 14) (dual of [646, 596, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(559, 656, F5, 16) (dual of [656, 597, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(558, 653, F5, 16) (dual of [653, 595, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(557, 650, F5, 16) (dual of [650, 593, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(564, 657, F5, 17) (dual of [657, 593, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(562, 654, F5, 17) (dual of [654, 592, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(561, 652, F5, 17) (dual of [652, 591, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(560, 649, F5, 17) (dual of [649, 589, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(567, 656, F5, 18) (dual of [656, 589, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(566, 653, F5, 18) (dual of [653, 587, 19]-code) | [i] | ✔ | |
| 16 | Linear OA(547, 639, F5, 14) (dual of [639, 592, 15]-code) | [i] | ✔ | |
| 17 | Linear OA(567, 659, F5, 18) (dual of [659, 592, 19]-code) | [i] | ✔ | |
| 18 | Linear OA(566, 657, F5, 18) (dual of [657, 591, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(565, 654, F5, 18) (dual of [654, 589, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(573, 664, F5, 19) (dual of [664, 591, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(572, 661, F5, 19) (dual of [661, 589, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(571, 658, F5, 19) (dual of [658, 587, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(573, 665, F5, 19) (dual of [665, 592, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(577, 668, F5, 20) (dual of [668, 591, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(576, 665, F5, 20) (dual of [665, 589, 21]-code) | [i] | ✔ | |
| 26 | Linear OOA(532, 312, F5, 2, 10) (dual of [(312, 2), 592, 11]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(532, 208, F5, 3, 10) (dual of [(208, 3), 592, 11]-NRT-code) | [i] | ||