Information on Result #613710
Linear OA(549, 626, F5, 15) (dual of [626, 577, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(556, 634, F5, 15) (dual of [634, 578, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(558, 635, F5, 17) (dual of [635, 577, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(550, 635, F5, 15) (dual of [635, 585, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(572, 647, F5, 21) (dual of [647, 575, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(573, 650, F5, 21) (dual of [650, 577, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(569, 646, F5, 19) (dual of [646, 577, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(553, 646, F5, 15) (dual of [646, 593, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(586, 657, F5, 23) (dual of [657, 571, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(587, 664, F5, 23) (dual of [664, 577, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(584, 656, F5, 22) (dual of [656, 572, 23]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OA(585, 656, F5, 23) (dual of [656, 571, 24]-code) | [i] | ✔ | |
| 12 | Linear OA(583, 654, F5, 22) (dual of [654, 571, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(584, 654, F5, 23) (dual of [654, 570, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(582, 652, F5, 22) (dual of [652, 570, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(571, 641, F5, 21) (dual of [641, 570, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(568, 638, F5, 19) (dual of [638, 570, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(576, 656, F5, 20) (dual of [656, 580, 21]-code) | [i] | ✔ | |
| 18 | Linear OA(573, 653, F5, 19) (dual of [653, 580, 20]-code) | [i] | ✔ | |
| 19 | Linear OA(577, 656, F5, 21) (dual of [656, 579, 22]-code) | [i] | ✔ | |
| 20 | Linear OA(575, 654, F5, 20) (dual of [654, 579, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(572, 651, F5, 19) (dual of [651, 579, 20]-code) | [i] | ✔ | |
| 22 | Linear OA(576, 654, F5, 21) (dual of [654, 578, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(574, 652, F5, 20) (dual of [652, 578, 21]-code) | [i] | ✔ | |
| 24 | Linear OA(571, 649, F5, 19) (dual of [649, 578, 20]-code) | [i] | ✔ | |
| 25 | Linear OA(560, 638, F5, 17) (dual of [638, 578, 18]-code) | [i] | ✔ | |
| 26 | Linear OA(552, 638, F5, 15) (dual of [638, 586, 16]-code) | [i] | ✔ | |
| 27 | Linear OA(557, 651, F5, 15) (dual of [651, 594, 16]-code) | [i] | ✔ | |