Information on Result #711104
Linear OA(548, 624, F5, 15) (dual of [624, 576, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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 OA(556, 635, F5, 15) (dual of [635, 579, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(557, 638, F5, 15) (dual of [638, 581, 16]-code) | [i] | ||
| 3 | Linear OOA(548, 469, F5, 2, 15) (dual of [(469, 2), 890, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(548, 469, F5, 3, 15) (dual of [(469, 3), 1359, 16]-NRT-code) | [i] | ||
| 5 | Digital (33, 48, 469)-net over F5 | [i] | ||
| 6 | Linear OA(552, 664, F5, 15) (dual of [664, 612, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(553, 706, F5, 15) (dual of [706, 653, 16]-code) | [i] | ||
| 8 | Linear OA(554, 770, F5, 15) (dual of [770, 716, 16]-code) | [i] | ||
| 9 | Linear OA(555, 853, F5, 15) (dual of [853, 798, 16]-code) | [i] | ||
| 10 | Linear OA(556, 953, F5, 15) (dual of [953, 897, 16]-code) | [i] | ||
| 11 | Linear OA(569, 657, F5, 19) (dual of [657, 588, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(555, 635, F5, 17) (dual of [635, 580, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(577, 668, F5, 20) (dual of [668, 591, 21]-code) | [i] | ✔ | |
| 14 | Linear OA(576, 665, F5, 20) (dual of [665, 589, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(578, 666, F5, 21) (dual of [666, 588, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(577, 664, F5, 21) (dual of [664, 587, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(576, 661, F5, 21) (dual of [661, 585, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(566, 646, F5, 19) (dual of [646, 580, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(584, 671, F5, 22) (dual of [671, 587, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(583, 668, F5, 22) (dual of [668, 585, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(582, 665, F5, 22) (dual of [665, 583, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(575, 656, F5, 21) (dual of [656, 581, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(589, 670, F5, 23) (dual of [670, 581, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(581, 660, F5, 22) (dual of [660, 579, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(574, 653, F5, 21) (dual of [653, 579, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(580, 657, F5, 22) (dual of [657, 577, 23]-code) | [i] | ✔ | |
| 27 | Linear OA(578, 654, F5, 22) (dual of [654, 576, 23]-code) | [i] | ✔ | |
| 28 | Linear OA(577, 652, F5, 22) (dual of [652, 575, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(576, 649, F5, 22) (dual of [649, 573, 23]-code) | [i] | ✔ | |
| 30 | Linear OA(584, 659, F5, 23) (dual of [659, 575, 24]-code) | [i] | ✔ | |
| 31 | Linear OA(583, 656, F5, 23) (dual of [656, 573, 24]-code) | [i] | ✔ | |
| 32 | Linear OA(582, 653, F5, 23) (dual of [653, 571, 24]-code) | [i] | ✔ | |
| 33 | Linear OA(563, 639, F5, 19) (dual of [639, 576, 20]-code) | [i] | ✔ | |
| 34 | Linear OA(583, 659, F5, 23) (dual of [659, 576, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(582, 657, F5, 23) (dual of [657, 575, 24]-code) | [i] | ✔ | |
| 36 | Linear OA(581, 654, F5, 23) (dual of [654, 573, 24]-code) | [i] | ✔ | |
| 37 | Linear OA(590, 666, F5, 24) (dual of [666, 576, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(589, 664, F5, 24) (dual of [664, 575, 25]-code) | [i] | ✔ | |
| 39 | Linear OA(588, 661, F5, 24) (dual of [661, 573, 25]-code) | [i] | ✔ | |
| 40 | Linear OA(587, 658, F5, 24) (dual of [658, 571, 25]-code) | [i] | ✔ | |
| 41 | Linear OA(594, 663, F5, 25) (dual of [663, 569, 26]-code) | [i] | ✔ | |
| 42 | Linear OA(589, 665, F5, 24) (dual of [665, 576, 25]-code) | [i] | ✔ | |
| 43 | Linear OA(595, 670, F5, 25) (dual of [670, 575, 26]-code) | [i] | ✔ | |
| 44 | Linear OA(597, 673, F5, 26) (dual of [673, 576, 27]-code) | [i] | ✔ | |
| 45 | Linear OA(594, 670, F5, 25) (dual of [670, 576, 26]-code) | [i] | ✔ | |
| 46 | Linear OA(593, 668, F5, 25) (dual of [668, 575, 26]-code) | [i] | ✔ | |
| 47 | Linear OA(592, 665, F5, 25) (dual of [665, 573, 26]-code) | [i] | ✔ | |
| 48 | Linear OOA(548, 312, F5, 2, 15) (dual of [(312, 2), 576, 16]-NRT-code) | [i] | OOA Folding | |
| 49 | Linear OOA(548, 208, F5, 3, 15) (dual of [(208, 3), 576, 16]-NRT-code) | [i] | ||