Information on Result #613989
Linear OA(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36
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(5129, 644, F5, 36) (dual of [644, 515, 37]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5132, 650, F5, 36) (dual of [650, 518, 37]-code) | [i] | ||
| 3 | Linear OA(5112, 632, F5, 36) (dual of [632, 520, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(5113, 650, F5, 36) (dual of [650, 537, 37]-code) | [i] | ||
| 5 | Linear OA(5114, 676, F5, 36) (dual of [676, 562, 37]-code) | [i] | ||
| 6 | Linear OA(5115, 629, F5, 37) (dual of [629, 514, 38]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(5112, 630, F5, 36) (dual of [630, 518, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(5120, 634, F5, 38) (dual of [634, 514, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(5112, 634, F5, 35) (dual of [634, 522, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(5114, 636, F5, 36) (dual of [636, 522, 37]-code) | [i] | ✔ | |
| 11 | Linear OA(5126, 640, F5, 39) (dual of [640, 514, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(5115, 641, F5, 36) (dual of [641, 526, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(5133, 645, F5, 41) (dual of [645, 512, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(5134, 648, F5, 41) (dual of [648, 514, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(5131, 645, F5, 40) (dual of [645, 514, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(5117, 645, F5, 36) (dual of [645, 528, 37]-code) | [i] | ✔ | |
| 17 | Linear OA(5118, 648, F5, 36) (dual of [648, 530, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(5115, 645, F5, 35) (dual of [645, 530, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(5140, 652, F5, 42) (dual of [652, 512, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(5141, 655, F5, 42) (dual of [655, 514, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(5123, 657, F5, 36) (dual of [657, 534, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(5120, 652, F5, 35) (dual of [652, 532, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(5121, 655, F5, 35) (dual of [655, 534, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(5147, 661, F5, 43) (dual of [661, 514, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(5125, 663, F5, 36) (dual of [663, 538, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(5123, 661, F5, 35) (dual of [661, 538, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(5127, 669, F5, 36) (dual of [669, 542, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(5125, 667, F5, 35) (dual of [667, 542, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(5129, 673, F5, 36) (dual of [673, 544, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(5127, 671, F5, 35) (dual of [671, 544, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(5134, 679, F5, 36) (dual of [679, 545, 37]-code) | [i] | ✔ | |
| 32 | Linear OA(5131, 677, F5, 35) (dual of [677, 546, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(5133, 647, F5, 41) (dual of [647, 514, 42]-code) | [i] | ✔ | |
| 34 | Linear OA(5117, 647, F5, 36) (dual of [647, 530, 37]-code) | [i] | ✔ | |
| 35 | Linear OA(5138, 652, F5, 42) (dual of [652, 514, 43]-code) | [i] | ✔ | |
| 36 | Linear OA(5146, 657, F5, 43) (dual of [657, 511, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(5139, 650, F5, 42) (dual of [650, 511, 43]-code) | [i] | ✔ | |
| 38 | Linear OA(5144, 660, F5, 42) (dual of [660, 516, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(5143, 658, F5, 42) (dual of [658, 515, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(5132, 643, F5, 41) (dual of [643, 511, 42]-code) | [i] | ✔ | |
| 41 | Linear OA(5136, 654, F5, 40) (dual of [654, 518, 41]-code) | [i] | ✔ | |
| 42 | Linear OA(5138, 655, F5, 41) (dual of [655, 517, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(5135, 652, F5, 40) (dual of [652, 517, 41]-code) | [i] | ✔ | |
| 44 | Linear OA(5137, 653, F5, 41) (dual of [653, 516, 42]-code) | [i] | ✔ | |
| 45 | Linear OA(5134, 650, F5, 40) (dual of [650, 516, 41]-code) | [i] | ✔ | |
| 46 | Linear OA(5136, 651, F5, 41) (dual of [651, 515, 42]-code) | [i] | ✔ | |
| 47 | Linear OA(5133, 648, F5, 40) (dual of [648, 515, 41]-code) | [i] | ✔ | |
| 48 | Linear OA(5125, 636, F5, 39) (dual of [636, 511, 40]-code) | [i] | ✔ | |
| 49 | Linear OA(5128, 643, F5, 39) (dual of [643, 515, 40]-code) | [i] | ✔ | |
| 50 | Linear OA(5122, 637, F5, 38) (dual of [637, 515, 39]-code) | [i] | ✔ | |
| 51 | Linear OA(5117, 632, F5, 37) (dual of [632, 515, 38]-code) | [i] | ✔ | |
| 52 | Linear OA(5113, 632, F5, 36) (dual of [632, 519, 37]-code) | [i] | ✔ | |
| 53 | Linear OA(5113, 636, F5, 35) (dual of [636, 523, 36]-code) | [i] | ✔ | |
| 54 | Linear OA(5116, 643, F5, 36) (dual of [643, 527, 37]-code) | [i] | ✔ | |
| 55 | Linear OA(5120, 654, F5, 35) (dual of [654, 534, 36]-code) | [i] | ✔ | |
| 56 | Linear OA(5122, 655, F5, 36) (dual of [655, 533, 37]-code) | [i] | ✔ | |
| 57 | Linear OA(5119, 652, F5, 35) (dual of [652, 533, 36]-code) | [i] | ✔ | |
| 58 | Linear OA(5121, 653, F5, 36) (dual of [653, 532, 37]-code) | [i] | ✔ | |
| 59 | Linear OA(5118, 650, F5, 35) (dual of [650, 532, 36]-code) | [i] | ✔ | |
| 60 | Linear OA(5120, 651, F5, 36) (dual of [651, 531, 37]-code) | [i] | ✔ | |
| 61 | Linear OA(5117, 648, F5, 35) (dual of [648, 531, 36]-code) | [i] | ✔ | |
| 62 | Linear OA(5124, 659, F5, 36) (dual of [659, 535, 37]-code) | [i] | ✔ | |
| 63 | Linear OA(5122, 657, F5, 35) (dual of [657, 535, 36]-code) | [i] | ✔ | |