Information on Result #711515
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 = {126,127,…,158}, 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(5120, 670, F5, 33) (dual of [670, 550, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(5120, 672, F5, 33) (dual of [672, 552, 34]-code) | [i] | ✔ | |
6 | Linear OA(5119, 668, F5, 33) (dual of [668, 549, 34]-code) | [i] | ✔ | |
7 | Linear OA(5116, 662, F5, 33) (dual of [662, 546, 34]-code) | [i] | ✔ | |
8 | Linear OA(5118, 669, F5, 33) (dual of [669, 551, 34]-code) | [i] | ✔ | |
9 | Linear OA(5117, 665, F5, 33) (dual of [665, 548, 34]-code) | [i] | ✔ | |
10 | Linear OA(5116, 663, F5, 33) (dual of [663, 547, 34]-code) | [i] | ✔ | |
11 | Linear OA(5114, 659, F5, 33) (dual of [659, 545, 34]-code) | [i] | ✔ | |
12 | Linear OA(5116, 664, F5, 33) (dual of [664, 548, 34]-code) | [i] | ✔ | |
13 | Linear OA(5115, 661, F5, 33) (dual of [661, 546, 34]-code) | [i] | ✔ | |
14 | Linear OA(5114, 661, F5, 33) (dual of [661, 547, 34]-code) | [i] | ✔ | |
15 | Linear OA(5113, 658, F5, 33) (dual of [658, 545, 34]-code) | [i] | ✔ | |
16 | Linear OA(5112, 653, F5, 33) (dual of [653, 541, 34]-code) | [i] | ✔ | |
17 | Linear OA(5112, 656, F5, 33) (dual of [656, 544, 34]-code) | [i] | ✔ | |
18 | Linear OA(5110, 653, F5, 33) (dual of [653, 543, 34]-code) | [i] | ✔ | |
19 | Linear OA(5124, 661, F5, 36) (dual of [661, 537, 37]-code) | [i] | ✔ | |
20 | Linear OA(5108, 649, F5, 33) (dual of [649, 541, 34]-code) | [i] | ✔ | |
21 | Linear OA(5123, 660, F5, 36) (dual of [660, 537, 37]-code) | [i] | ✔ | |
22 | Linear OA(5149, 682, F5, 41) (dual of [682, 533, 42]-code) | [i] | ✔ | |
23 | Linear OA(5145, 679, F5, 40) (dual of [679, 534, 41]-code) | [i] | ✔ | |
24 | Linear OA(5147, 680, F5, 41) (dual of [680, 533, 42]-code) | [i] | ✔ | |
25 | Linear OA(5145, 676, F5, 41) (dual of [676, 531, 42]-code) | [i] | ✔ | |
26 | Linear OA(5144, 672, F5, 41) (dual of [672, 528, 42]-code) | [i] | ✔ | |
27 | Linear OA(5143, 670, F5, 41) (dual of [670, 527, 42]-code) | [i] | ✔ | |
28 | Linear OA(5142, 665, F5, 41) (dual of [665, 523, 42]-code) | [i] | ✔ |