Information on Result #613674
Linear OA(541, 626, F5, 13) (dual of [626, 585, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(548, 636, F5, 13) (dual of [636, 588, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(549, 639, F5, 13) (dual of [639, 590, 14]-code) | [i] | ||
| 3 | Linear OA(546, 632, F5, 13) (dual of [632, 586, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(550, 635, F5, 15) (dual of [635, 585, 16]-code) | [i] | ✔ | |
| 5 | Linear OA(542, 635, F5, 13) (dual of [635, 593, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(561, 646, F5, 17) (dual of [646, 585, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(548, 647, F5, 13) (dual of [647, 599, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(549, 650, F5, 13) (dual of [650, 601, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(578, 657, F5, 21) (dual of [657, 579, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(579, 664, F5, 21) (dual of [664, 585, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(577, 662, F5, 20) (dual of [662, 585, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(576, 656, F5, 20) (dual of [656, 580, 21]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 13 | Linear OA(573, 653, F5, 19) (dual of [653, 580, 20]-code) | [i] | ✔ | |
| 14 | Linear OA(577, 656, F5, 21) (dual of [656, 579, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(575, 654, F5, 20) (dual of [654, 579, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(572, 651, F5, 19) (dual of [651, 579, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(576, 654, F5, 21) (dual of [654, 578, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(574, 652, F5, 20) (dual of [652, 578, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(571, 649, F5, 19) (dual of [649, 578, 20]-code) | [i] | ✔ | |
| 20 | Linear OA(560, 638, F5, 17) (dual of [638, 578, 18]-code) | [i] | ✔ | |
| 21 | Linear OA(564, 651, F5, 17) (dual of [651, 587, 18]-code) | [i] | ✔ | |
| 22 | Linear OA(563, 649, F5, 17) (dual of [649, 586, 18]-code) | [i] | ✔ | |
| 23 | Linear OA(552, 638, F5, 15) (dual of [638, 586, 16]-code) | [i] | ✔ | |
| 24 | Linear OA(547, 642, F5, 13) (dual of [642, 595, 14]-code) | [i] | ✔ | |
| 25 | Linear OA(546, 640, F5, 13) (dual of [640, 594, 14]-code) | [i] | ✔ | |