Information on Result #710809
Linear OA(595, 624, F5, 31) (dual of [624, 529, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(595, 519, F5, 2, 31) (dual of [(519, 2), 943, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(595, 519, F5, 3, 31) (dual of [(519, 3), 1462, 32]-NRT-code) | [i] | ||
| 3 | Digital (64, 95, 519)-net over F5 | [i] | ||
| 4 | Linear OA(5105, 652, F5, 31) (dual of [652, 547, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5105, 653, F5, 31) (dual of [653, 548, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(5141, 687, F5, 38) (dual of [687, 546, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(5124, 667, F5, 36) (dual of [667, 543, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(5121, 664, F5, 35) (dual of [664, 543, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(5105, 638, F5, 33) (dual of [638, 533, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(5131, 674, F5, 37) (dual of [674, 543, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(5130, 672, F5, 37) (dual of [672, 542, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(5122, 663, F5, 36) (dual of [663, 541, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(5119, 660, F5, 35) (dual of [660, 541, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(5121, 660, F5, 36) (dual of [660, 539, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(5137, 679, F5, 38) (dual of [679, 542, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(5136, 675, F5, 38) (dual of [675, 539, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(5135, 672, F5, 38) (dual of [672, 537, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(5129, 670, F5, 37) (dual of [670, 541, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(5128, 668, F5, 37) (dual of [668, 540, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(5127, 664, F5, 37) (dual of [664, 537, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(5126, 661, F5, 37) (dual of [661, 535, 38]-code) | [i] | ✔ | |
| 22 | Linear OA(5118, 655, F5, 35) (dual of [655, 537, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(5120, 655, F5, 36) (dual of [655, 535, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(5143, 680, F5, 39) (dual of [680, 537, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(5135, 675, F5, 38) (dual of [675, 540, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(5134, 671, F5, 38) (dual of [671, 537, 39]-code) | [i] | ✔ | |
| 27 | Linear OA(5133, 668, F5, 38) (dual of [668, 535, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(5119, 652, F5, 36) (dual of [652, 533, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(5116, 649, F5, 35) (dual of [649, 533, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(5118, 649, F5, 36) (dual of [649, 531, 37]-code) | [i] | ✔ | |
| 31 | Linear OA(5141, 676, F5, 39) (dual of [676, 535, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(5125, 657, F5, 37) (dual of [657, 532, 38]-code) | [i] | ✔ | |
| 33 | Linear OA(5140, 671, F5, 39) (dual of [671, 531, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(5132, 664, F5, 38) (dual of [664, 532, 39]-code) | [i] | ✔ | |
| 35 | Linear OA(5103, 632, F5, 33) (dual of [632, 529, 34]-code) | [i] | ✔ | |
| 36 | Linear OA(5108, 637, F5, 34) (dual of [637, 529, 35]-code) | [i] | ✔ | |
| 37 | Linear OA(5114, 643, F5, 35) (dual of [643, 529, 36]-code) | [i] | ✔ | |
| 38 | Linear OA(5122, 651, F5, 37) (dual of [651, 529, 38]-code) | [i] | ✔ | |
| 39 | Linear OA(5121, 648, F5, 37) (dual of [648, 527, 38]-code) | [i] | ✔ | |
| 40 | Linear OA(5128, 656, F5, 38) (dual of [656, 528, 39]-code) | [i] | ✔ | |
| 41 | Linear OA(5127, 652, F5, 38) (dual of [652, 525, 39]-code) | [i] | ✔ | |
| 42 | Linear OA(5126, 649, F5, 38) (dual of [649, 523, 39]-code) | [i] | ✔ | |
| 43 | Linear OA(5135, 663, F5, 39) (dual of [663, 528, 40]-code) | [i] | ✔ | |
| 44 | Linear OA(5133, 656, F5, 39) (dual of [656, 523, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(5113, 642, F5, 35) (dual of [642, 529, 36]-code) | [i] | ✔ | |
| 46 | Linear OA(5127, 656, F5, 38) (dual of [656, 529, 39]-code) | [i] | ✔ | |
| 47 | Linear OA(5126, 653, F5, 38) (dual of [653, 527, 39]-code) | [i] | ✔ | |
| 48 | Linear OA(5134, 663, F5, 39) (dual of [663, 529, 40]-code) | [i] | ✔ | |
| 49 | Linear OA(5133, 661, F5, 39) (dual of [661, 528, 40]-code) | [i] | ✔ | |
| 50 | Linear OA(5132, 657, F5, 39) (dual of [657, 525, 40]-code) | [i] | ✔ | |
| 51 | Linear OA(5131, 654, F5, 39) (dual of [654, 523, 40]-code) | [i] | ✔ | |
| 52 | Linear OA(5140, 668, F5, 40) (dual of [668, 528, 41]-code) | [i] | ✔ | |
| 53 | Linear OA(5139, 664, F5, 40) (dual of [664, 525, 41]-code) | [i] | ✔ | |
| 54 | Linear OA(5138, 661, F5, 40) (dual of [661, 523, 41]-code) | [i] | ✔ | |
| 55 | Linear OA(5133, 662, F5, 39) (dual of [662, 529, 40]-code) | [i] | ✔ | |
| 56 | Linear OA(5132, 659, F5, 39) (dual of [659, 527, 40]-code) | [i] | ✔ | |
| 57 | Linear OA(5140, 669, F5, 40) (dual of [669, 529, 41]-code) | [i] | ✔ | |
| 58 | Linear OA(5139, 667, F5, 40) (dual of [667, 528, 41]-code) | [i] | ✔ | |
| 59 | Linear OA(5138, 663, F5, 40) (dual of [663, 525, 41]-code) | [i] | ✔ | |
| 60 | Linear OA(5137, 660, F5, 40) (dual of [660, 523, 41]-code) | [i] | ✔ | |
| 61 | Linear OA(5141, 670, F5, 41) (dual of [670, 529, 42]-code) | [i] | ✔ | |
| 62 | Linear OA(5138, 667, F5, 40) (dual of [667, 529, 41]-code) | [i] | ✔ | |
| 63 | Linear OA(5140, 667, F5, 41) (dual of [667, 527, 42]-code) | [i] | ✔ | |
| 64 | Linear OA(5137, 664, F5, 40) (dual of [664, 527, 41]-code) | [i] | ✔ | |
| 65 | Linear OA(5148, 677, F5, 42) (dual of [677, 529, 43]-code) | [i] | ✔ | |
| 66 | Linear OA(5147, 675, F5, 42) (dual of [675, 528, 43]-code) | [i] | ✔ | |
| 67 | Linear OOA(595, 312, F5, 2, 31) (dual of [(312, 2), 529, 32]-NRT-code) | [i] | OOA Folding | |
| 68 | Linear OOA(595, 208, F5, 3, 31) (dual of [(208, 3), 529, 32]-NRT-code) | [i] | ||