Information on Result #613948
Linear OA(595, 625, F5, 31) (dual of [625, 530, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(5110, 641, F5, 31) (dual of [641, 531, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5113, 647, F5, 31) (dual of [647, 534, 32]-code) | [i] | ||
| 3 | Linear OA(599, 648, F5, 31) (dual of [648, 549, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(5100, 669, F5, 31) (dual of [669, 569, 32]-code) | [i] | ||
| 5 | Linear OA(5101, 698, F5, 31) (dual of [698, 597, 32]-code) | [i] | ||
| 6 | Linear OA(5102, 733, F5, 31) (dual of [733, 631, 32]-code) | [i] | ||
| 7 | Linear OA(599, 629, F5, 32) (dual of [629, 530, 33]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(596, 630, F5, 31) (dual of [630, 534, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5104, 634, F5, 33) (dual of [634, 530, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(596, 634, F5, 30) (dual of [634, 538, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(598, 636, F5, 31) (dual of [636, 538, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(5110, 640, F5, 34) (dual of [640, 530, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(599, 641, F5, 31) (dual of [641, 542, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(5117, 645, F5, 36) (dual of [645, 528, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(5118, 648, F5, 36) (dual of [648, 530, 37]-code) | [i] | ✔ | |
| 16 | Linear OA(5115, 645, F5, 35) (dual of [645, 530, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(5101, 645, F5, 31) (dual of [645, 544, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(599, 643, F5, 30) (dual of [643, 544, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(5124, 652, F5, 37) (dual of [652, 528, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(5125, 655, F5, 37) (dual of [655, 530, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(5104, 650, F5, 31) (dual of [650, 546, 32]-code) | [i] | ✔ | |
| 22 | Linear OA(5107, 655, F5, 31) (dual of [655, 548, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(5104, 652, F5, 30) (dual of [652, 548, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(5131, 661, F5, 38) (dual of [661, 530, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(5109, 661, F5, 31) (dual of [661, 552, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(5107, 659, F5, 30) (dual of [659, 552, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(5137, 667, F5, 39) (dual of [667, 530, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(5111, 667, F5, 31) (dual of [667, 556, 32]-code) | [i] | ✔ | |
| 29 | Linear OA(5109, 665, F5, 30) (dual of [665, 556, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(5145, 675, F5, 41) (dual of [675, 530, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(5143, 673, F5, 40) (dual of [673, 530, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(5113, 673, F5, 31) (dual of [673, 560, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(5111, 671, F5, 30) (dual of [671, 560, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(5117, 647, F5, 36) (dual of [647, 530, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(5122, 652, F5, 37) (dual of [652, 530, 38]-code) | [i] | ✔ | |
| 36 | Linear OA(5104, 652, F5, 31) (dual of [652, 548, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(5106, 658, F5, 31) (dual of [658, 552, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(5130, 657, F5, 38) (dual of [657, 527, 39]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 39 | Linear OA(5123, 650, F5, 37) (dual of [650, 527, 38]-code) | [i] | ✔ | |
| 40 | Linear OA(5128, 660, F5, 37) (dual of [660, 532, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(5127, 658, F5, 37) (dual of [658, 531, 38]-code) | [i] | ✔ | |
| 42 | Linear OA(5116, 643, F5, 36) (dual of [643, 527, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(5120, 654, F5, 35) (dual of [654, 534, 36]-code) | [i] | ✔ | |
| 44 | Linear OA(5122, 655, F5, 36) (dual of [655, 533, 37]-code) | [i] | ✔ | |
| 45 | Linear OA(5119, 652, F5, 35) (dual of [652, 533, 36]-code) | [i] | ✔ | |
| 46 | Linear OA(5121, 653, F5, 36) (dual of [653, 532, 37]-code) | [i] | ✔ | |
| 47 | Linear OA(5118, 650, F5, 35) (dual of [650, 532, 36]-code) | [i] | ✔ | |
| 48 | Linear OA(5120, 651, F5, 36) (dual of [651, 531, 37]-code) | [i] | ✔ | |
| 49 | Linear OA(5117, 648, F5, 35) (dual of [648, 531, 36]-code) | [i] | ✔ | |
| 50 | Linear OA(5109, 636, F5, 34) (dual of [636, 527, 35]-code) | [i] | ✔ | |
| 51 | Linear OA(5112, 643, F5, 34) (dual of [643, 531, 35]-code) | [i] | ✔ | |
| 52 | Linear OA(5106, 637, F5, 33) (dual of [637, 531, 34]-code) | [i] | ✔ | |
| 53 | Linear OA(5101, 632, F5, 32) (dual of [632, 531, 33]-code) | [i] | ✔ | |
| 54 | Linear OA(597, 632, F5, 31) (dual of [632, 535, 32]-code) | [i] | ✔ | |
| 55 | Linear OA(597, 636, F5, 30) (dual of [636, 539, 31]-code) | [i] | ✔ | |
| 56 | Linear OA(5100, 643, F5, 31) (dual of [643, 543, 32]-code) | [i] | ✔ | |
| 57 | Linear OA(5106, 653, F5, 31) (dual of [653, 547, 32]-code) | [i] | ✔ | |
| 58 | Linear OA(5103, 650, F5, 30) (dual of [650, 547, 31]-code) | [i] | ✔ | |
| 59 | Linear OA(5102, 648, F5, 30) (dual of [648, 546, 31]-code) | [i] | ✔ | |
| 60 | Linear OA(5101, 646, F5, 30) (dual of [646, 545, 31]-code) | [i] | ✔ | |
| 61 | Linear OA(5108, 657, F5, 31) (dual of [657, 549, 32]-code) | [i] | ✔ | |
| 62 | Linear OA(5106, 655, F5, 30) (dual of [655, 549, 31]-code) | [i] | ✔ | |
| 63 | Linear OA(5108, 661, F5, 30) (dual of [661, 553, 31]-code) | [i] | ✔ | |
| 64 | Linear OA(5103, 648, F5, 31) (dual of [648, 545, 32]-code) | [i] | ✔ | |