Information on Result #712185
Linear OA(5127, 624, F5, 41) (dual of [624, 497, 42]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,35}, and designed minimum distance d ≥ |I|+1 = 42
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 BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5143, 673, F5, 41) (dual of [673, 530, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5140, 670, F5, 40) (dual of [670, 530, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(5139, 668, F5, 40) (dual of [668, 529, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(5138, 665, F5, 40) (dual of [665, 527, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(5140, 666, F5, 41) (dual of [666, 526, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(5139, 664, F5, 41) (dual of [664, 525, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(5138, 661, F5, 41) (dual of [661, 523, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(5137, 656, F5, 41) (dual of [656, 519, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(5136, 653, F5, 41) (dual of [653, 517, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(5135, 650, F5, 41) (dual of [650, 515, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(5141, 670, F5, 41) (dual of [670, 529, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(5138, 667, F5, 40) (dual of [667, 529, 41]-code) | [i] | ✔ | |
| 13 | Linear OA(5140, 667, F5, 41) (dual of [667, 527, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(5137, 664, F5, 40) (dual of [664, 527, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(5138, 663, F5, 41) (dual of [663, 525, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(5135, 660, F5, 40) (dual of [660, 525, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(5137, 660, F5, 41) (dual of [660, 523, 42]-code) | [i] | ✔ | |
| 18 | Linear OA(5134, 655, F5, 40) (dual of [655, 521, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(5136, 655, F5, 41) (dual of [655, 519, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(5135, 652, F5, 41) (dual of [652, 517, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(5132, 649, F5, 40) (dual of [649, 517, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(5134, 649, F5, 41) (dual of [649, 515, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(5140, 654, F5, 42) (dual of [654, 514, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(5139, 652, F5, 42) (dual of [652, 513, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(5138, 649, F5, 42) (dual of [649, 511, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(5138, 651, F5, 42) (dual of [651, 513, 43]-code) | [i] | ✔ | |
| 27 | Linear OA(5137, 648, F5, 42) (dual of [648, 511, 43]-code) | [i] | ✔ | |
| 28 | Linear OA(5145, 659, F5, 43) (dual of [659, 514, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(5144, 657, F5, 43) (dual of [657, 513, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(5143, 654, F5, 43) (dual of [654, 511, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(5143, 656, F5, 43) (dual of [656, 513, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(5142, 653, F5, 43) (dual of [653, 511, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(5149, 662, F5, 44) (dual of [662, 513, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(5148, 659, F5, 44) (dual of [659, 511, 45]-code) | [i] | ✔ | |
| 35 | Linear OOA(5127, 312, F5, 2, 41) (dual of [(312, 2), 497, 42]-NRT-code) | [i] | OOA Folding | |
| 36 | Linear OOA(5127, 208, F5, 3, 41) (dual of [(208, 3), 497, 42]-NRT-code) | [i] | ||