Information on Result #683257
Linear OA(557, 626, F5, 17) (dual of [626, 569, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(566, 635, F5, 19) (dual of [635, 569, 20]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(568, 632, F5, 21) (dual of [632, 564, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(569, 638, F5, 21) (dual of [638, 569, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(567, 632, F5, 20) (dual of [632, 565, 21]-code) | [i] | ✔ | |
| 5 | Linear OA(558, 635, F5, 17) (dual of [635, 577, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(580, 647, F5, 23) (dual of [647, 567, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(581, 650, F5, 23) (dual of [650, 569, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(561, 646, F5, 17) (dual of [646, 585, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(594, 657, F5, 25) (dual of [657, 563, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(595, 664, F5, 25) (dual of [664, 569, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(593, 662, F5, 24) (dual of [662, 569, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(594, 660, F5, 25) (dual of [660, 566, 26]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(593, 658, F5, 25) (dual of [658, 565, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(591, 656, F5, 24) (dual of [656, 565, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(591, 655, F5, 25) (dual of [655, 564, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(590, 653, F5, 25) (dual of [653, 563, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(589, 651, F5, 25) (dual of [651, 562, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(579, 642, F5, 23) (dual of [642, 563, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(578, 640, F5, 23) (dual of [640, 562, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(584, 656, F5, 22) (dual of [656, 572, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(585, 656, F5, 23) (dual of [656, 571, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(583, 654, F5, 22) (dual of [654, 571, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(584, 654, F5, 23) (dual of [654, 570, 24]-code) | [i] | ✔ | |
| 24 | Linear OA(582, 652, F5, 22) (dual of [652, 570, 23]-code) | [i] | ✔ | |
| 25 | Linear OA(571, 641, F5, 21) (dual of [641, 570, 22]-code) | [i] | ✔ | |
| 26 | Linear OA(568, 638, F5, 19) (dual of [638, 570, 20]-code) | [i] | ✔ | |
| 27 | Linear OA(560, 638, F5, 17) (dual of [638, 578, 18]-code) | [i] | ✔ | |
| 28 | Linear OA(564, 651, F5, 17) (dual of [651, 587, 18]-code) | [i] | ✔ | |
| 29 | Linear OA(563, 649, F5, 17) (dual of [649, 586, 18]-code) | [i] | ✔ | |