Information on Result #613872
Linear OA(581, 626, F5, 25) (dual of [626, 545, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(592, 638, F5, 25) (dual of [638, 546, 26]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(590, 635, F5, 27) (dual of [635, 545, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(582, 635, F5, 25) (dual of [635, 553, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(5104, 647, F5, 31) (dual of [647, 543, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(5105, 650, F5, 31) (dual of [650, 545, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(5101, 646, F5, 29) (dual of [646, 545, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(585, 646, F5, 25) (dual of [646, 561, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(5118, 657, F5, 33) (dual of [657, 539, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(5119, 664, F5, 33) (dual of [664, 545, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5117, 662, F5, 32) (dual of [662, 545, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(594, 657, F5, 25) (dual of [657, 563, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(595, 664, F5, 25) (dual of [664, 569, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(593, 662, F5, 24) (dual of [662, 569, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(5131, 676, F5, 35) (dual of [676, 545, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(5116, 656, F5, 32) (dual of [656, 540, 33]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 16 | Linear OA(5117, 656, F5, 33) (dual of [656, 539, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(5115, 654, F5, 32) (dual of [654, 539, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(5116, 654, F5, 33) (dual of [654, 538, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(5114, 652, F5, 32) (dual of [652, 538, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(5103, 641, F5, 31) (dual of [641, 538, 32]-code) | [i] | ✔ | |
| 21 | Linear OA(5100, 638, F5, 29) (dual of [638, 538, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(5106, 655, F5, 29) (dual of [655, 549, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(5108, 656, F5, 30) (dual of [656, 548, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(5105, 653, F5, 29) (dual of [653, 548, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(5109, 656, F5, 31) (dual of [656, 547, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(5107, 654, F5, 30) (dual of [654, 547, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(5104, 651, F5, 29) (dual of [651, 547, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(5108, 654, F5, 31) (dual of [654, 546, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(5106, 652, F5, 30) (dual of [652, 546, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(5103, 649, F5, 29) (dual of [649, 546, 30]-code) | [i] | ✔ | |
| 31 | Linear OA(592, 638, F5, 27) (dual of [638, 546, 28]-code) | [i] | ✔ | |
| 32 | Linear OA(584, 638, F5, 25) (dual of [638, 554, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(594, 660, F5, 25) (dual of [660, 566, 26]-code) | [i] | ✔ | |
| 34 | Linear OA(593, 658, F5, 25) (dual of [658, 565, 26]-code) | [i] | ✔ | |
| 35 | Linear OA(591, 656, F5, 24) (dual of [656, 565, 25]-code) | [i] | ✔ | |
| 36 | Linear OA(591, 655, F5, 25) (dual of [655, 564, 26]-code) | [i] | ✔ | |
| 37 | Linear OA(590, 653, F5, 25) (dual of [653, 563, 26]-code) | [i] | ✔ | |
| 38 | Linear OA(589, 651, F5, 25) (dual of [651, 562, 26]-code) | [i] | ✔ | |