Information on Result #711065
Linear OA(564, 624, F5, 20) (dual of [624, 560, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(564, 516, F5, 2, 20) (dual of [(516, 2), 968, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(564, 516, F5, 3, 20) (dual of [(516, 3), 1484, 21]-NRT-code) | [i] | ||
| 3 | Digital (44, 64, 516)-net over F5 | [i] | ||
| 4 | Linear OA(576, 656, F5, 21) (dual of [656, 580, 22]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(585, 657, F5, 24) (dual of [657, 572, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(571, 635, F5, 22) (dual of [635, 564, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(597, 673, F5, 26) (dual of [673, 576, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(594, 670, F5, 25) (dual of [670, 576, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(593, 668, F5, 25) (dual of [668, 575, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(592, 665, F5, 25) (dual of [665, 573, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(594, 666, F5, 26) (dual of [666, 572, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(593, 664, F5, 26) (dual of [664, 571, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(592, 661, F5, 26) (dual of [661, 569, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(582, 646, F5, 24) (dual of [646, 564, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(599, 668, F5, 27) (dual of [668, 569, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(598, 665, F5, 27) (dual of [665, 567, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(591, 656, F5, 26) (dual of [656, 565, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(590, 653, F5, 26) (dual of [653, 563, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(589, 650, F5, 26) (dual of [650, 561, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(579, 639, F5, 24) (dual of [639, 560, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(598, 657, F5, 28) (dual of [657, 559, 29]-code) | [i] | ✔ | |
| 22 | Linear OA(5117, 677, F5, 32) (dual of [677, 560, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(5116, 675, F5, 32) (dual of [675, 559, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(5115, 672, F5, 32) (dual of [672, 557, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(5123, 682, F5, 33) (dual of [682, 559, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(5122, 679, F5, 33) (dual of [679, 557, 34]-code) | [i] | ✔ | |
| 27 | Linear OOA(564, 312, F5, 2, 20) (dual of [(312, 2), 560, 21]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(564, 208, F5, 3, 20) (dual of [(208, 3), 560, 21]-NRT-code) | [i] | ||