Information on Result #613837
Linear OA(573, 626, F5, 23) (dual of [626, 553, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound)
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(586, 642, F5, 23) (dual of [642, 556, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(587, 644, F5, 23) (dual of [644, 557, 24]-code) | [i] | ||
| 3 | Linear OA(588, 656, F5, 23) (dual of [656, 568, 24]-code) | [i] | ||
| 4 | Linear OA(584, 638, F5, 23) (dual of [638, 554, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(582, 635, F5, 25) (dual of [635, 553, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(574, 635, F5, 23) (dual of [635, 561, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(593, 646, F5, 27) (dual of [646, 553, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(580, 647, F5, 23) (dual of [647, 567, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(581, 650, F5, 23) (dual of [650, 569, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(5110, 657, F5, 31) (dual of [657, 547, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(5111, 664, F5, 31) (dual of [664, 553, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(5109, 662, F5, 30) (dual of [662, 553, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(5106, 653, F5, 29) (dual of [653, 547, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(5107, 660, F5, 29) (dual of [660, 553, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(586, 657, F5, 23) (dual of [657, 571, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(587, 664, F5, 23) (dual of [664, 577, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(5123, 676, F5, 33) (dual of [676, 553, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(5106, 655, F5, 29) (dual of [655, 549, 30]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 19 | Linear OA(5108, 656, F5, 30) (dual of [656, 548, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(5105, 653, F5, 29) (dual of [653, 548, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(5109, 656, F5, 31) (dual of [656, 547, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(5107, 654, F5, 30) (dual of [654, 547, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(5104, 651, F5, 29) (dual of [651, 547, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(5108, 654, F5, 31) (dual of [654, 546, 32]-code) | [i] | ✔ | |
| 25 | Linear OA(5106, 652, F5, 30) (dual of [652, 546, 31]-code) | [i] | ✔ | |
| 26 | Linear OA(5103, 649, F5, 29) (dual of [649, 546, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(592, 638, F5, 27) (dual of [638, 546, 28]-code) | [i] | ✔ | |
| 28 | Linear OA(598, 655, F5, 27) (dual of [655, 557, 28]-code) | [i] | ✔ | |
| 29 | Linear OA(597, 653, F5, 27) (dual of [653, 556, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(596, 651, F5, 27) (dual of [651, 555, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(595, 649, F5, 27) (dual of [649, 554, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(584, 638, F5, 25) (dual of [638, 554, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(579, 642, F5, 23) (dual of [642, 563, 24]-code) | [i] | ✔ | |
| 34 | Linear OA(578, 640, F5, 23) (dual of [640, 562, 24]-code) | [i] | ✔ | |
| 35 | Linear OA(584, 656, F5, 22) (dual of [656, 572, 23]-code) | [i] | ✔ | |
| 36 | Linear OA(585, 656, F5, 23) (dual of [656, 571, 24]-code) | [i] | ✔ | |
| 37 | Linear OA(583, 654, F5, 22) (dual of [654, 571, 23]-code) | [i] | ✔ | |
| 38 | Linear OA(584, 654, F5, 23) (dual of [654, 570, 24]-code) | [i] | ✔ | |
| 39 | Linear OA(582, 652, F5, 22) (dual of [652, 570, 23]-code) | [i] | ✔ | |