Information on Result #613904
Linear OA(583, 625, F5, 27) (dual of [625, 542, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(596, 639, F5, 27) (dual of [639, 543, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(598, 642, F5, 27) (dual of [642, 544, 28]-code) | [i] | ||
| 3 | Linear OA(599, 645, F5, 27) (dual of [645, 546, 28]-code) | [i] | ||
| 4 | Linear OA(587, 629, F5, 28) (dual of [629, 542, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(583, 627, F5, 27) (dual of [627, 544, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(592, 634, F5, 29) (dual of [634, 542, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(585, 631, F5, 27) (dual of [631, 546, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(586, 634, F5, 27) (dual of [634, 548, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(599, 641, F5, 31) (dual of [641, 542, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(587, 639, F5, 27) (dual of [639, 552, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(5105, 645, F5, 32) (dual of [645, 540, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(5106, 648, F5, 32) (dual of [648, 542, 33]-code) | [i] | ✔ | |
| 13 | Linear OA(589, 645, F5, 27) (dual of [645, 556, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(5112, 652, F5, 33) (dual of [652, 540, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(5113, 655, F5, 33) (dual of [655, 542, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(591, 649, F5, 27) (dual of [649, 558, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(592, 652, F5, 27) (dual of [652, 560, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(5119, 661, F5, 34) (dual of [661, 542, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(597, 661, F5, 27) (dual of [661, 564, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(5127, 669, F5, 36) (dual of [669, 542, 37]-code) | [i] | ✔ | |
| 21 | Linear OA(5125, 667, F5, 35) (dual of [667, 542, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(599, 667, F5, 27) (dual of [667, 568, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(5133, 675, F5, 37) (dual of [675, 542, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(5141, 683, F5, 38) (dual of [683, 542, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(590, 650, F5, 27) (dual of [650, 560, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(594, 658, F5, 27) (dual of [658, 564, 28]-code) | [i] | ✔ | |
| 27 | Linear OA(5118, 657, F5, 34) (dual of [657, 539, 35]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(5111, 650, F5, 33) (dual of [650, 539, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(5114, 657, F5, 33) (dual of [657, 543, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(5118, 663, F5, 33) (dual of [663, 545, 34]-code) | [i] | ✔ | |
| 31 | Linear OA(5104, 643, F5, 32) (dual of [643, 539, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(5107, 650, F5, 32) (dual of [650, 543, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(5111, 656, F5, 32) (dual of [656, 545, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(597, 636, F5, 30) (dual of [636, 539, 31]-code) | [i] | ✔ | |
| 35 | Linear OA(5100, 643, F5, 31) (dual of [643, 543, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(593, 636, F5, 29) (dual of [636, 543, 30]-code) | [i] | ✔ | |
| 37 | Linear OA(588, 641, F5, 27) (dual of [641, 553, 28]-code) | [i] | ✔ | |
| 38 | Linear OA(596, 658, F5, 27) (dual of [658, 562, 28]-code) | [i] | ✔ | |
| 39 | Linear OA(595, 656, F5, 27) (dual of [656, 561, 28]-code) | [i] | ✔ | |
| 40 | Linear OA(592, 653, F5, 26) (dual of [653, 561, 27]-code) | [i] | ✔ | |
| 41 | Linear OA(592, 653, F5, 27) (dual of [653, 561, 28]-code) | [i] | ✔ | |