Information on Result #712064
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 = {121,122,…,161}, 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 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 OA(5147, 681, F5, 40) (dual of [681, 534, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5148, 683, F5, 41) (dual of [683, 535, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(5145, 680, F5, 40) (dual of [680, 535, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(5147, 681, F5, 41) (dual of [681, 534, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(5146, 678, F5, 41) (dual of [678, 532, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(5145, 678, F5, 41) (dual of [678, 533, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(5142, 675, F5, 40) (dual of [675, 533, 41]-code) | [i] | ✔ | |
| 8 | Linear OA(5141, 672, F5, 40) (dual of [672, 531, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(5135, 656, F5, 41) (dual of [656, 521, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(5134, 651, F5, 41) (dual of [651, 517, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(5132, 645, F5, 41) (dual of [645, 513, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(5140, 649, F5, 43) (dual of [649, 509, 44]-code) | [i] | ✔ | |
| 13 | Linear OA(5129, 634, F5, 41) (dual of [634, 505, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(5146, 655, F5, 44) (dual of [655, 509, 45]-code) | [i] | ✔ | |
| 15 | Linear OOA(5127, 312, F5, 2, 41) (dual of [(312, 2), 497, 42]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(5127, 208, F5, 3, 41) (dual of [(208, 3), 497, 42]-NRT-code) | [i] | ||