Information on Result #613887
Linear OA(581, 625, F5, 26) (dual of [625, 544, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(594, 639, F5, 26) (dual of [639, 545, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(596, 642, F5, 26) (dual of [642, 546, 27]-code) | [i] | ||
| 3 | Linear OA(597, 645, F5, 26) (dual of [645, 548, 27]-code) | [i] | ||
| 4 | Linear OA(585, 650, F5, 26) (dual of [650, 565, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(586, 673, F5, 26) (dual of [673, 587, 27]-code) | [i] | ||
| 6 | Linear OA(587, 707, F5, 26) (dual of [707, 620, 27]-code) | [i] | ||
| 7 | Linear OA(588, 749, F5, 26) (dual of [749, 661, 27]-code) | [i] | ||
| 8 | Linear OA(583, 627, F5, 27) (dual of [627, 544, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(582, 630, F5, 26) (dual of [630, 548, 27]-code) | [i] | ✔ | |
| 10 | Linear OA(588, 632, F5, 28) (dual of [632, 544, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(584, 636, F5, 26) (dual of [636, 552, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(594, 638, F5, 29) (dual of [638, 544, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(585, 641, F5, 26) (dual of [641, 556, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(5101, 645, F5, 31) (dual of [645, 544, 32]-code) | [i] | ✔ | |
| 15 | Linear OA(599, 643, F5, 30) (dual of [643, 544, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(587, 645, F5, 26) (dual of [645, 558, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(588, 648, F5, 26) (dual of [648, 560, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(5108, 652, F5, 32) (dual of [652, 544, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(593, 657, F5, 26) (dual of [657, 564, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(5115, 659, F5, 33) (dual of [659, 544, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(595, 663, F5, 26) (dual of [663, 568, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(593, 661, F5, 25) (dual of [661, 568, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(5121, 665, F5, 34) (dual of [665, 544, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(597, 669, F5, 26) (dual of [669, 572, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(595, 667, F5, 25) (dual of [667, 572, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(5129, 673, F5, 36) (dual of [673, 544, 37]-code) | [i] | ✔ | |
| 27 | Linear OA(5127, 671, F5, 35) (dual of [671, 544, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(5137, 681, F5, 37) (dual of [681, 544, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(5143, 687, F5, 38) (dual of [687, 544, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(587, 647, F5, 26) (dual of [647, 560, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(5114, 657, F5, 33) (dual of [657, 543, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 32 | Linear OA(5117, 662, F5, 33) (dual of [662, 545, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(5107, 650, F5, 32) (dual of [650, 543, 33]-code) | [i] | ✔ | |
| 34 | Linear OA(5112, 658, F5, 32) (dual of [658, 546, 33]-code) | [i] | ✔ | |
| 35 | Linear OA(5100, 643, F5, 31) (dual of [643, 543, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(5106, 653, F5, 31) (dual of [653, 547, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(5103, 650, F5, 30) (dual of [650, 547, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(5102, 648, F5, 30) (dual of [648, 546, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(5101, 646, F5, 30) (dual of [646, 545, 31]-code) | [i] | ✔ | |
| 40 | Linear OA(593, 636, F5, 29) (dual of [636, 543, 30]-code) | [i] | ✔ | |
| 41 | Linear OA(596, 641, F5, 29) (dual of [641, 545, 30]-code) | [i] | ✔ | |
| 42 | Linear OA(590, 635, F5, 28) (dual of [635, 545, 29]-code) | [i] | ✔ | |
| 43 | Linear OA(583, 632, F5, 26) (dual of [632, 549, 27]-code) | [i] | ✔ | |
| 44 | Linear OA(586, 643, F5, 26) (dual of [643, 557, 27]-code) | [i] | ✔ | |
| 45 | Linear OA(590, 654, F5, 25) (dual of [654, 564, 26]-code) | [i] | ✔ | |
| 46 | Linear OA(592, 655, F5, 26) (dual of [655, 563, 27]-code) | [i] | ✔ | |
| 47 | Linear OA(589, 652, F5, 25) (dual of [652, 563, 26]-code) | [i] | ✔ | |
| 48 | Linear OA(591, 653, F5, 26) (dual of [653, 562, 27]-code) | [i] | ✔ | |
| 49 | Linear OA(588, 650, F5, 25) (dual of [650, 562, 26]-code) | [i] | ✔ | |
| 50 | Linear OA(590, 651, F5, 26) (dual of [651, 561, 27]-code) | [i] | ✔ | |
| 51 | Linear OA(594, 659, F5, 26) (dual of [659, 565, 27]-code) | [i] | ✔ | |
| 52 | Linear OA(592, 657, F5, 25) (dual of [657, 565, 26]-code) | [i] | ✔ | |
| 53 | Linear OA(5103, 648, F5, 31) (dual of [648, 545, 32]-code) | [i] | ✔ | |