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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
K. A. Popkov, “Letter to the Editors”, Diskr. Mat., 36:3 (2024), 149  |
| 2. |
K. A. Popkov, “Implementation of Linear Boolean Functions by Self-Correcting Circuits of Unreliable Logic Gates”, Mat. Zametki, 115:1 (2024), 91–107  ; Math. Notes, 115:1 (2024), 77–88  |
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2023 |
| 3. |
K. A. Popkov, “Short tests for contact circuits under one-type weakly connected faults of contacts”, Diskr. Mat., 35:4 (2023), 69–78 |
| 4. |
K. A. Popkov, “Short Complete Diagnostic Tests for Circuits Implementing Linear Boolean Functions”, Mat. Zametki, 113:1 (2023), 75–89 ; Math. Notes, 113:1 (2023), 80–92 |
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| 5. |
K. A. Popkov, “Short fault detection tests for contact circuits under arbitrary weakly connected faults of contacts”, Prikl. Diskr. Mat., 2023, no. 62, 71–82 |
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2022 |
| 6. |
K. A. Popkov, “Short conditional complete diagnostic tests for circuits under one-type constant faults of gates”, Diskr. Mat., 34:3 (2022), 63–69 ; Discrete Math. Appl., 33:6 (2023), 381–386 |
| 7. |
K. A. Popkov, “Short complete diagnostic tests for circuits with two additional inputs in some basis”, Diskr. Mat., 34:2 (2022), 67–82 ; Discrete Math. Appl., 33:4 (2023), 219–230 |
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| 8. |
K. A. Popkov, “On Self-Correcting Logic Circuits of Unreliable Gates with at Most Two Inputs”, Mat. Zametki, 111:1 (2022), 145–148 ; Math. Notes, 111:1 (2022), 157–160  |
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| 9. |
K. A. Popkov, “Short complete diagnostic tests for circuits with one additional input in the standard basis”, Prikl. Diskr. Mat., 2022, no. 56, 104–112 |
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| 10. |
K. A. Popkov, “Short single fault detection tests for logic networks under arbitrary faults of gates”, Prikl. Diskr. Mat., 2022, no. 55, 59–76 |
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| 11. |
K. A. Popkov, “Short complete diagnostic tests for logic circuits in one infinite basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 5, 51–54   ; Moscow University Mathematics Bulletin, 77:5 (2022), 250–253 |
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2021 |
| 12. |
K. A. Popkov, “On implementation of Boolean functions by contact circuits of minimal uniform width”, Diskr. Mat., 33:4 (2021), 94–109 ; Discrete Math. Appl., 32:6 (2022), 403–415 |
| 13. |
K. A. Popkov, “On self-correcting logic circuits of unreliable gates”, Keldysh Institute preprints, 2021, 049, 18 pp. |
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| 14. |
K. A. Popkov, “On logic networks allowing short single fault detection tests under arbitrary faults of gates”, Prikl. Diskr. Mat., 2021, no. 51, 85–100 |
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2020 |
| 15. |
K. A. Popkov, “On implementation of boolean functions by contact circuits with a constant uniform width”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 65–68 ; Dokl. Math., 102:3 (2020), 502–504 |
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| 16. |
K. A. Popkov, “Bounds on Shannon functions of lengths of contact closure tests for contact circuits”, Diskr. Mat., 32:3 (2020), 49–67 ; Discrete Math. Appl., 31:3 (2021), 165–178 |
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| 17. |
K. A. Popkov, “Short single diagnostic tests for contact circuits under breaks and closures of contacts”, Intelligent systems. Theory and applications, 24:1 (2020), 143–152 |
| 18. |
K. A. Popkov, “Short Tests of Closures for Contact Circuits”, Mat. Zametki, 107:4 (2020), 591–603 ; Math. Notes, 107:4 (2020), 653–662 |
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| 19. |
K. A. Popkov, “On the implementation of Boolean functions by contact circuits with uniform width 3”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 162:3 (2020), 350–358 |
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2019 |
| 20. |
K. A. Popkov, “Short complete fault detection tests for logic networks with fan-in two”, Diskretn. Anal. Issled. Oper., 26:1 (2019), 89–113 ; J. Appl. Industr. Math., 13:1 (2019), 118–131 |
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| 21. |
K. A. Popkov, “On diagnostic tests of contact break for contact circuits”, Diskr. Mat., 31:2 (2019), 123–142 ; Discrete Math. Appl., 30:2 (2020), 103–116 |
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| 22. |
K. A. Popkov, “A method of construction of easily diagnosable logic networks regarding single faults”, Keldysh Institute preprints, 2019, 081, 29 pp. |
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| 23. |
K. A. Popkov, “Short single fault detection tests for contact circuits under breaks and closures of contacts”, Intelligent systems. Theory and applications, 23:3 (2019), 97–130 |
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| 24. |
K. A. Popkov, “On complete diagnostic tests for contact diagrams during opening and/or closing of contacts”, University proceedings. Volga region. Physical and mathematical sciences, 2019, no. 3, 5–24 |
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| 25. |
K. A. Popkov, “A method for constructing logic networks allowing short single diagnostic tests”, Prikl. Diskr. Mat., 2019, no. 46, 38–57 |
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| 26. |
K. A. Popkov, “Synthesis of easily testable logic networks under arbitrary stuck-at faults at inputs and outputs of gates”, Prikl. Diskr. Mat., 2019, no. 43, 78–100 |
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| 27. |
K. A. Popkov, “Minimal complete fault detection tests for circuits of functional elements in the standard basis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 4, 54–57 |
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2018 |
| 28. |
K. A. Popkov, “Complete fault detection tests of length 2 for logic networks under stuck-at faults of gates”, Diskretn. Anal. Issled. Oper., 25:2 (2018), 62–81 ; J. Appl. Industr. Math., 12:2 (2018), 302–312 |
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| 29. |
K. A. Popkov, “Short single tests for circuits with arbitrary stuck-at faults at outputs of gates”, Diskr. Mat., 30:3 (2018), 99–116 ; Discrete Math. Appl., 29:5 (2019), 321–333 |
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| 30. |
K. A. Popkov, “On diagnostic tests of contact break for contact circuits”, Keldysh Institute preprints, 2018, 271, 24 pp. |
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| 31. |
K. A. Popkov, “Short complete fault detection tests for logic networks with fan-in two”, Keldysh Institute preprints, 2018, 197, 24 pp. |
| 32. |
K. A. Popkov, “Minimal complete fault detection tests for logic networks in the standard basis”, Keldysh Institute preprints, 2018, 161, 7 pp. |
| 33. |
K. A. Popkov, “Synthesis of easily testable logic networks under arbitrary stuck-at faults at inputs and outputs of gates”, Keldysh Institute preprints, 2018, 149, 32 pp. |
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| 34. |
K. A. Popkov, “Synthesis of easily testable logic networks under one-type stuck-at faults at inputs and outputs of gates”, Keldysh Institute preprints, 2018, 087, 18 pp. |
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| 35. |
K. A. Popkov, “Short single tests for logic networks under arbitrary stuck-at faults at outputs of gates”, Keldysh Institute preprints, 2018, 033, 23 pp. |
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| 36. |
K. A. Popkov, “Synthesis of easily testable logic networks under one-type stuck-at faults at inputs and outputs of gates”, Intelligent systems. Theory and applications, 22:3 (2018), 131–147 |
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| 37. |
K. A. Popkov, “Complete diagnostic length $2$ tests for logic networks under inverse faults of logic gates”, Trudy Mat. Inst. Steklova, 301 (2018), 219–224 ; Proc. Steklov Inst. Math., 301 (2018), 207–212 |
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2017 |
| 38. |
K. A. Popkov, “On the exact value of the length of the minimal single diagnostic test for a particular class of circuits”, Diskretn. Anal. Issled. Oper., 24:3 (2017), 80–103 ; J. Appl. Industr. Math., 11:3 (2017), 431–443 |
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| 39. |
K. A. Popkov, “On fault detection tests of contact break for contact circuits”, Diskr. Mat., 29:4 (2017), 66–86 ; Discrete Math. Appl., 28:6 (2018), 369–383 |
12
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| 40. |
K. A. Popkov, “Lower bounds for lengths of single tests for Boolean circuits”, Diskr. Mat., 29:2 (2017), 53–69 ; Discrete Math. Appl., 29:1 (2019), 23–33 |
11
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| 41. |
K. A. Popkov, “Complete diagnostic tests of the length two for logic networks under inverse faults of logic gates”, Keldysh Institute preprints, 2017, 105, 10 pp. |
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| 42. |
K. A. Popkov, “Complete fault detection tests of the length two for logic networks under stuck-at faults of gates”, Keldysh Institute preprints, 2017, 104, 16 pp. |
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| 43. |
K. A. Popkov, “Single fault detection tests for logic networks in the basis “conjunction-negation””, Keldysh Institute preprints, 2017, 030, 31 pp. |
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| 44. |
K. A. Popkov, “Single fault detection tests for logic networks of AND, NOT gates”, Prikl. Diskr. Mat., 2017, no. 38, 66–88 |
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2016 |
| 45. |
K. A. Popkov, “Tests of contact closure for contact circuits”, Diskr. Mat., 28:1 (2016), 87–100 ; Discrete Math. Appl., 26:5 (2016), 299–308 |
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| 46. |
K. A. Popkov, “Lower bounds on lengths of single tests for logic circuits”, Keldysh Institute preprints, 2016, 139, 21 pp. |
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| 47. |
K. A. Popkov, “Lower bounds on lengths of complete diagnostic tests for circuits and inputs of circuits”, Keldysh Institute preprints, 2016, 060, 12 pp. |
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| 48. |
K. A. Popkov, “On single diagnostic tests for logic circuits in the Zhegalkin basis”, Keldysh Institute preprints, 2016, 050, 16 pp. |
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| 49. |
K. A. Popkov, “On tests of contact closure for contact circuits”, Keldysh Institute preprints, 2016, 014, 20 pp. |
| 50. |
K. A. Popkov, “On single diagnostic tests for logic circuits in the Zhegalkin basis”, University proceedings. Volga region. Physical and mathematical sciences, 2016, no. 3, 3–18 |
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| 51. |
K. A. Popkov, “Lower bounds for lengths of complete diagnostic tests for circuits and inputs of circuits”, Prikl. Diskr. Mat., 2016, no. 4(34), 65–73 |
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2015 |
| 52. |
K. A. Popkov, “Estimations on lengths of tests of functional elements under a large number of permissible faults”, Diskretn. Anal. Issled. Oper., 22:5 (2015), 52–70 ; J. Appl. Industr. Math., 9:4 (2015), 559–569 |
| 53. |
K. A. Popkov, “Single tests for logical gates”, Diskr. Mat., 27:2 (2015), 73–93 ; Discrete Math. Appl., 25:6 (2015), 367–382 |
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| 54. |
K. A. Popkov, “On an exact length value of a minimal single diagnostic test for one class of circuits”, Keldysh Institute preprints, 2015, 074, 20 pp. |
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| 55. |
K. A. Popkov, “Estimation of fault detection and diagnostic tests' length for contacts”, University proceedings. Volga region. Physical and mathematical sciences, 2015, no. 2, 108–121 |
| 56. |
K. A. Popkov, “Single tests for contacts”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5, 13–18 ; Moscow University Mathematics Bulletin, 70:5 (2015), 208–212 |
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2014 |
| 57. |
K. A. Popkov, “Estimates for lengths of check and diagnostic tests of functional elements”, Diskretn. Anal. Issled. Oper., 21:6 (2014), 73–89 |
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| 58. |
K. A. Popkov, “Fault detection and diagnostic tests for logic gates”, Diskr. Mat., 26:2 (2014), 83–99 ; Discrete Math. Appl., 24:4 (2014), 213–225 |
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| 59. |
K. A. Popkov, “Check and diagnostic tests for AND, OR, and NOT gates”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6, 40–44 ; Moscow University Mathematics Bulletin, 69:6 (2014), 267–271 |
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2013 |
| 60. |
K. A. Popkov, “The diagnosis of states of contacts”, Diskr. Mat., 25:4 (2013), 30–40 ; Discrete Math. Appl., 23:5-6 (2013), 479–489 |
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