Information on Result #710982
Linear OA(537, 624, F5, 12) (dual of [624, 587, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(537, 366, F5, 2, 12) (dual of [(366, 2), 695, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(537, 366, F5, 3, 12) (dual of [(366, 3), 1061, 13]-NRT-code) | [i] | ||
| 3 | Digital (25, 37, 366)-net over F5 | [i] | ||
| 4 | Linear OA(541, 632, F5, 13) (dual of [632, 591, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(564, 663, F5, 17) (dual of [663, 599, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(563, 660, F5, 17) (dual of [660, 597, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(546, 637, F5, 14) (dual of [637, 591, 15]-code) | [i] | ✔ | |
| 8 | Linear OA(562, 655, F5, 17) (dual of [655, 593, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(552, 643, F5, 15) (dual of [643, 591, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(560, 651, F5, 17) (dual of [651, 591, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(559, 648, F5, 17) (dual of [648, 589, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(566, 656, F5, 18) (dual of [656, 590, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(565, 652, F5, 18) (dual of [652, 587, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(564, 649, F5, 18) (dual of [649, 585, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(573, 663, F5, 19) (dual of [663, 590, 20]-code) | [i] | ✔ | |
| 16 | Linear OA(571, 656, F5, 19) (dual of [656, 585, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(545, 632, F5, 14) (dual of [632, 587, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(550, 637, F5, 15) (dual of [637, 587, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(563, 648, F5, 18) (dual of [648, 585, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(568, 649, F5, 19) (dual of [649, 581, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(575, 656, F5, 20) (dual of [656, 581, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(569, 656, F5, 19) (dual of [656, 587, 20]-code) | [i] | ✔ | |
| 23 | Linear OA(568, 653, F5, 19) (dual of [653, 585, 20]-code) | [i] | ✔ | |
| 24 | Linear OA(575, 661, F5, 20) (dual of [661, 586, 21]-code) | [i] | ✔ | |
| 25 | Linear OA(574, 657, F5, 20) (dual of [657, 583, 21]-code) | [i] | ✔ | |
| 26 | Linear OA(573, 654, F5, 20) (dual of [654, 581, 21]-code) | [i] | ✔ | |
| 27 | Linear OA(576, 663, F5, 21) (dual of [663, 587, 22]-code) | [i] | ✔ | |
| 28 | Linear OA(573, 660, F5, 20) (dual of [660, 587, 21]-code) | [i] | ✔ | |
| 29 | Linear OA(575, 660, F5, 21) (dual of [660, 585, 22]-code) | [i] | ✔ | |
| 30 | Linear OA(583, 670, F5, 22) (dual of [670, 587, 23]-code) | [i] | ✔ | |
| 31 | Linear OA(582, 668, F5, 22) (dual of [668, 586, 23]-code) | [i] | ✔ | |
| 32 | Linear OA(581, 664, F5, 22) (dual of [664, 583, 23]-code) | [i] | ✔ | |
| 33 | Linear OA(580, 661, F5, 22) (dual of [661, 581, 23]-code) | [i] | ✔ | |
| 34 | Linear OA(589, 675, F5, 23) (dual of [675, 586, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(588, 671, F5, 23) (dual of [671, 583, 24]-code) | [i] | ✔ | |
| 36 | Linear OA(587, 668, F5, 23) (dual of [668, 581, 24]-code) | [i] | ✔ | |