Information on Result #711685
Linear OA(5103, 624, F5, 33) (dual of [624, 521, 34]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,27}, and designed minimum distance d ≥ |I|+1 = 34
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 BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5103, 599, F5, 2, 33) (dual of [(599, 2), 1095, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5103, 599, F5, 3, 33) (dual of [(599, 3), 1694, 34]-NRT-code) | [i] | ||
| 3 | Digital (70, 103, 599)-net over F5 | [i] | ||
| 4 | Linear OA(5112, 655, F5, 33) (dual of [655, 543, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5111, 652, F5, 33) (dual of [652, 541, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(5110, 649, F5, 33) (dual of [649, 539, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(5111, 654, F5, 33) (dual of [654, 543, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(5110, 651, F5, 33) (dual of [651, 541, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(5109, 648, F5, 33) (dual of [648, 539, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5113, 648, F5, 34) (dual of [648, 535, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(5121, 656, F5, 36) (dual of [656, 535, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(5118, 655, F5, 35) (dual of [655, 537, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(5120, 655, F5, 36) (dual of [655, 535, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(5126, 663, F5, 37) (dual of [663, 537, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(5125, 660, F5, 37) (dual of [660, 535, 38]-code) | [i] | ✔ | |