Information on Result #711958
Linear OA(598, 624, F5, 31) (dual of [624, 526, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32
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(598, 616, F5, 2, 31) (dual of [(616, 2), 1134, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(598, 616, F5, 3, 31) (dual of [(616, 3), 1750, 32]-NRT-code) | [i] | ||
| 3 | Digital (67, 98, 616)-net over F5 | [i] | ||
| 4 | Linear OA(5140, 684, F5, 38) (dual of [684, 544, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5139, 682, F5, 38) (dual of [682, 543, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(5144, 683, F5, 39) (dual of [683, 539, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(5132, 665, F5, 38) (dual of [665, 533, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(5140, 672, F5, 39) (dual of [672, 532, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(5139, 670, F5, 39) (dual of [670, 531, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(5124, 654, F5, 37) (dual of [654, 530, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(5123, 652, F5, 37) (dual of [652, 529, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(5122, 649, F5, 37) (dual of [649, 527, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(5129, 656, F5, 38) (dual of [656, 527, 39]-code) | [i] | ✔ | |
| 14 | Linear OA(5128, 653, F5, 38) (dual of [653, 525, 39]-code) | [i] | ✔ | |
| 15 | Linear OA(5132, 653, F5, 39) (dual of [653, 521, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(5137, 658, F5, 40) (dual of [658, 521, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(5131, 657, F5, 39) (dual of [657, 526, 40]-code) | [i] | ✔ | |
| 18 | Linear OA(5140, 666, F5, 41) (dual of [666, 526, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(5139, 664, F5, 41) (dual of [664, 525, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(5138, 661, F5, 41) (dual of [661, 523, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(5147, 673, F5, 42) (dual of [673, 526, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(5146, 671, F5, 42) (dual of [671, 525, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(5145, 668, F5, 42) (dual of [668, 523, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(5144, 665, F5, 42) (dual of [665, 521, 43]-code) | [i] | ✔ | |