Information on Result #683245
Linear OA(5105, 626, F5, 33) (dual of [626, 521, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(5114, 635, F5, 35) (dual of [635, 521, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(5106, 635, F5, 33) (dual of [635, 529, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(5125, 646, F5, 37) (dual of [646, 521, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(5112, 647, F5, 33) (dual of [647, 535, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(5113, 650, F5, 33) (dual of [650, 537, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(5142, 657, F5, 41) (dual of [657, 515, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(5143, 664, F5, 41) (dual of [664, 521, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(5141, 662, F5, 40) (dual of [662, 521, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(5138, 653, F5, 39) (dual of [653, 515, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(5139, 660, F5, 39) (dual of [660, 521, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(5136, 652, F5, 38) (dual of [652, 516, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(5137, 658, F5, 38) (dual of [658, 521, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(5118, 657, F5, 33) (dual of [657, 539, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(5119, 664, F5, 33) (dual of [664, 545, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(5117, 662, F5, 32) (dual of [662, 545, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(5123, 676, F5, 33) (dual of [676, 553, 34]-code) | [i] | ✔ | |
| 17 | Linear OA(5138, 655, F5, 39) (dual of [655, 517, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 18 | Linear OA(5140, 656, F5, 40) (dual of [656, 516, 41]-code) | [i] | ✔ | |
| 19 | Linear OA(5137, 653, F5, 39) (dual of [653, 516, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(5141, 656, F5, 41) (dual of [656, 515, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(5139, 654, F5, 40) (dual of [654, 515, 41]-code) | [i] | ✔ | |
| 22 | Linear OA(5136, 651, F5, 39) (dual of [651, 515, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(5140, 654, F5, 41) (dual of [654, 514, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(5138, 652, F5, 40) (dual of [652, 514, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(5135, 649, F5, 39) (dual of [649, 514, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(5139, 661, F5, 38) (dual of [661, 522, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(5124, 638, F5, 37) (dual of [638, 514, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(5130, 655, F5, 37) (dual of [655, 525, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(5129, 653, F5, 37) (dual of [653, 524, 38]-code) | [i] | ✔ | |
| 30 | Linear OA(5128, 651, F5, 37) (dual of [651, 523, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(5127, 649, F5, 37) (dual of [649, 522, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(5116, 638, F5, 35) (dual of [638, 522, 36]-code) | [i] | ✔ | |
| 33 | Linear OA(5111, 642, F5, 33) (dual of [642, 531, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(5110, 640, F5, 33) (dual of [640, 530, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(5116, 656, F5, 32) (dual of [656, 540, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(5117, 656, F5, 33) (dual of [656, 539, 34]-code) | [i] | ✔ | |
| 37 | Linear OA(5115, 654, F5, 32) (dual of [654, 539, 33]-code) | [i] | ✔ | |
| 38 | Linear OA(5116, 654, F5, 33) (dual of [654, 538, 34]-code) | [i] | ✔ | |
| 39 | Linear OA(5114, 652, F5, 32) (dual of [652, 538, 33]-code) | [i] | ✔ | |