Information on Result #710917
Linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [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 OOA(549, 368, F5, 2, 16) (dual of [(368, 2), 687, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(549, 368, F5, 3, 16) (dual of [(368, 3), 1055, 17]-NRT-code) | [i] | ||
| 3 | Digital (33, 49, 368)-net over F5 | [i] | ||
| 4 | Linear OA(559, 656, F5, 16) (dual of [656, 597, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(558, 653, F5, 16) (dual of [653, 595, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(557, 650, F5, 16) (dual of [650, 593, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(557, 660, F5, 15) (dual of [660, 603, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(559, 660, F5, 16) (dual of [660, 601, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(556, 655, F5, 15) (dual of [655, 599, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(558, 655, F5, 16) (dual of [655, 597, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(557, 652, F5, 16) (dual of [652, 595, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(554, 649, F5, 15) (dual of [649, 595, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(556, 649, F5, 16) (dual of [649, 593, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(562, 654, F5, 17) (dual of [654, 592, 18]-code) | [i] | ✔ | |
| 15 | Linear OA(561, 652, F5, 17) (dual of [652, 591, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(560, 649, F5, 17) (dual of [649, 589, 18]-code) | [i] | ✔ | |
| 17 | Linear OA(560, 651, F5, 17) (dual of [651, 591, 18]-code) | [i] | ✔ | |
| 18 | Linear OA(559, 648, F5, 17) (dual of [648, 589, 18]-code) | [i] | ✔ | |
| 19 | Linear OA(567, 659, F5, 18) (dual of [659, 592, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(566, 657, F5, 18) (dual of [657, 591, 19]-code) | [i] | ✔ | |
| 21 | Linear OA(565, 654, F5, 18) (dual of [654, 589, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(565, 656, F5, 18) (dual of [656, 591, 19]-code) | [i] | ✔ | |
| 23 | Linear OA(564, 653, F5, 18) (dual of [653, 589, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(573, 665, F5, 19) (dual of [665, 592, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(571, 662, F5, 19) (dual of [662, 591, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(570, 659, F5, 19) (dual of [659, 589, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(577, 668, F5, 20) (dual of [668, 591, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(576, 665, F5, 20) (dual of [665, 589, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(579, 670, F5, 21) (dual of [670, 591, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(576, 667, F5, 20) (dual of [667, 591, 21]-code) | [i] | ✔ | |
| 31 | Linear OA(578, 667, F5, 21) (dual of [667, 589, 22]-code) | [i] | ✔ | |
| 32 | Linear OA(575, 664, F5, 20) (dual of [664, 589, 21]-code) | [i] | ✔ | |
| 33 | Linear OOA(549, 312, F5, 2, 16) (dual of [(312, 2), 575, 17]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(549, 208, F5, 3, 16) (dual of [(208, 3), 575, 17]-NRT-code) | [i] | ||