Information on Result #711204
Linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18
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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(553, 416, F5, 2, 17) (dual of [(416, 2), 779, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(553, 416, F5, 3, 17) (dual of [(416, 3), 1195, 18]-NRT-code) | [i] | ||
| 3 | Digital (36, 53, 416)-net over F5 | [i] | ||
| 4 | Linear OA(557, 632, F5, 18) (dual of [632, 575, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(580, 663, F5, 22) (dual of [663, 583, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(579, 660, F5, 22) (dual of [660, 581, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(562, 637, F5, 19) (dual of [637, 575, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(587, 670, F5, 23) (dual of [670, 583, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(586, 668, F5, 23) (dual of [668, 582, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(578, 655, F5, 22) (dual of [655, 577, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(568, 643, F5, 20) (dual of [643, 575, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(593, 675, F5, 24) (dual of [675, 582, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(592, 671, F5, 24) (dual of [671, 579, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(591, 668, F5, 24) (dual of [668, 577, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(576, 651, F5, 22) (dual of [651, 575, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(575, 648, F5, 22) (dual of [648, 573, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(582, 656, F5, 23) (dual of [656, 574, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(581, 652, F5, 23) (dual of [652, 571, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(580, 649, F5, 23) (dual of [649, 569, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(589, 663, F5, 24) (dual of [663, 574, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(588, 659, F5, 24) (dual of [659, 571, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(587, 656, F5, 24) (dual of [656, 569, 25]-code) | [i] | ✔ | |
| 23 | Linear OA(561, 632, F5, 19) (dual of [632, 571, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(566, 637, F5, 20) (dual of [637, 571, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(579, 648, F5, 23) (dual of [648, 569, 24]-code) | [i] | ✔ | |
| 26 | Linear OA(584, 649, F5, 24) (dual of [649, 565, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(591, 656, F5, 25) (dual of [656, 565, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(585, 656, F5, 24) (dual of [656, 571, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(584, 653, F5, 24) (dual of [653, 569, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(591, 661, F5, 25) (dual of [661, 570, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(590, 657, F5, 25) (dual of [657, 567, 26]-code) | [i] | ✔ | |
| 32 | Linear OA(589, 654, F5, 25) (dual of [654, 565, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(592, 663, F5, 26) (dual of [663, 571, 27]-code) | [i] | ✔ | |
| 34 | Linear OA(589, 660, F5, 25) (dual of [660, 571, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(591, 660, F5, 26) (dual of [660, 569, 27]-code) | [i] | ✔ | |
| 36 | Linear OA(599, 670, F5, 27) (dual of [670, 571, 28]-code) | [i] | ✔ | |
| 37 | Linear OA(598, 668, F5, 27) (dual of [668, 570, 28]-code) | [i] | ✔ | |
| 38 | Linear OA(597, 664, F5, 27) (dual of [664, 567, 28]-code) | [i] | ✔ | |
| 39 | Linear OA(596, 661, F5, 27) (dual of [661, 565, 28]-code) | [i] | ✔ | |
| 40 | Linear OA(5103, 668, F5, 28) (dual of [668, 565, 29]-code) | [i] | ✔ | |