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Volumn 48, Issue 8, 1999, Pages 860-864

A note on the polynomial form of Boolean functions and related topics

Author keywords

Arithmetic derivatives; Arithmetic transform; Boolean functions; Mixed arithmetic transform; Multiple valued functions; Polynomial forms

Indexed keywords


EID: 0000982859     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/12.795128     Document Type: Article
Times cited : (41)

References (81)
  • 1
    • 0031998594 scopus 로고    scopus 로고
    • On the Polynomial Form of Boolean Functions: Derivations and Applications
    • Feb.
    • W.G. Schneeweiss, "On the Polynomial Form of Boolean Functions: Derivations and Applications," IEEE Trans. Computers, vol. 47, no. 2, pp. 217-221, Feb. 1998.
    • (1998) IEEE Trans. Computers , vol.47 , Issue.2 , pp. 217-221
    • Schneeweiss, W.G.1
  • 4
    • 0001854367 scopus 로고
    • On the Technique of Calculation the Sentences in Symbolic Logic
    • in Russian
    • I.I. Zhegalkin, "On the Technique of Calculation the Sentences in Symbolic Logic," Matern. Sbornik, vol. 34, pp. 9-28, 1927 (in Russian).
    • (1927) Matern. Sbornik , vol.34 , pp. 9-28
    • Zhegalkin, I.I.1
  • 5
    • 0003305133 scopus 로고
    • Harmonic Analysis of Switching Functions
    • A. Mukhopadhyay, ed. New York: Academic
    • R. Lechner, "Harmonic Analysis of Switching Functions," Recent Developments in Switching Theory, A. Mukhopadhyay, ed. New York: Academic, 1971.
    • (1971) Recent Developments in Switching Theory
    • Lechner, R.1
  • 6
    • 9144245836 scopus 로고
    • A Class of Multiple-Error-Correcting Codes and the Decoding Scheme
    • I.S. Reed, "A Class of Multiple-Error-Correcting Codes and the Decoding Scheme," IRE Trans. Information Theory, vol. 4, pp. 38-49, 1954.
    • (1954) IRE Trans. Information Theory , vol.4 , pp. 38-49
    • Reed, I.S.1
  • 7
    • 0002669842 scopus 로고
    • Applications of Boolean Algebra to Switching Circuit Design and to Error Detection
    • D.E. Muller, "Applications of Boolean Algebra to Switching Circuit Design and to Error Detection," IRE Trans. Electronic Computers, vol. 3, pp. 6-12, 1954.
    • (1954) IRE Trans. Electronic Computers , vol.3 , pp. 6-12
    • Muller, D.E.1
  • 8
    • 33747071090 scopus 로고
    • Polynomial Representation of Spectral Coefficients
    • S. Puwar, "Polynomial Representation of Spectral Coefficients," IEE Electronics Letters, vol. 28, no. 15, pp. 1,264-1,265, 1992.
    • (1992) IEE Electronics Letters , vol.28 , Issue.15
    • Puwar, S.1
  • 9
    • 33747048266 scopus 로고
    • On Polynomial Representation of Spectral Coefficients
    • Jan.
    • B.J. Falkowski, "On Polynomial Representation of Spectral Coefficients," IEE Electronics Letters, vol. 29, no. 1, pp. 35-37, Jan. 1993.
    • (1993) IEE Electronics Letters , vol.29 , Issue.1 , pp. 35-37
    • Falkowski, B.J.1
  • 11
    • 0001568326 scopus 로고
    • Switching Function Canonical Forms Based on Commutative and Associative Binary Operations
    • P. Calingaert, "Switching Function Canonical Forms Based on Commutative and Associative Binary Operations," Trans. AIEE, vol. 52, pp. 804-814, 1961.
    • (1961) Trans. AIEE , vol.52 , pp. 804-814
    • Calingaert, P.1
  • 13
    • 0020089075 scopus 로고
    • A Note of the Relation between Reed-Muller Expansions and Walsh Transforms
    • Feb.
    • R.S. Stankovic, "A Note of the Relation between Reed-Muller Expansions and Walsh Transforms," IEEE Trans. Electromagnetic Compatibility, vol. 24, no. 1, pp. 68-70, Feb. 1982.
    • (1982) IEEE Trans. Electromagnetic Compatibility , vol.24 , Issue.1 , pp. 68-70
    • Stankovic, R.S.1
  • 16
    • 0019591033 scopus 로고
    • Probabilistic Aspects of Boolean Switching Functions via a New Transform
    • S.K. Kumar and M.A. Breuer, "Probabilistic Aspects of Boolean Switching Functions via a New Transform," J. ACM, vol. 28, pp. 502-520, 1981.
    • (1981) J. ACM , vol.28 , pp. 502-520
    • Kumar, S.K.1    Breuer, M.A.2
  • 17
    • 0016521521 scopus 로고
    • Probabilistic Treatment of General Combinatorial Networks
    • K.P. Parker and E.J. McCluskey, "Probabilistic Treatment of General Combinatorial Networks," IEEE Trans. Computers, vol. 24, pp. 668-670, 1975.
    • (1975) IEEE Trans. Computers , vol.24 , pp. 668-670
    • Parker, K.P.1    McCluskey, E.J.2
  • 18
    • 0029486527 scopus 로고
    • Some Remarks about Spectral Transform Interpretation of MTBDDs and EVBDDs
    • Makuhari, Japan, Aug.
    • R.S. Stankovic, "Some Remarks about Spectral Transform Interpretation of MTBDDs and EVBDDs," Proc. First IEEE Asia and South Pacific Design Automation Conf., pp. 385-390, Makuhari, Japan, Aug. 1995.
    • (1995) Proc. First IEEE Asia and South Pacific Design Automation Conf. , pp. 385-390
    • Stankovic, R.S.1
  • 19
    • 0000116292 scopus 로고
    • Conjunctive Transformation of Discrete Signals and Their Applications to Testing and Detection of Monotonic Boolean Functions
    • in Russian
    • N.N. Aizenberg and O.T. Trofimlyuk, "Conjunctive Transformation of Discrete Signals and Their Applications to Testing and Detection of Monotonic Boolean Functions," Kibernetika, no. 1, pp. 138-139, 1981 (in Russian).
    • (1981) Kibernetika , Issue.1 , pp. 138-139
    • Aizenberg, N.N.1    Trofimlyuk, O.T.2
  • 20
    • 0025588155 scopus 로고
    • A Family of All Essential Radix-2 Addition/Subtraction Multi-Polarity Transforms: Algorithms and Interpretations in Boolean Domain
    • New Orleans, May
    • B.J. Falkowski and M.A. Perkowski, "A Family of All Essential Radix-2 Addition/Subtraction Multi-Polarity Transforms: Algorithms and Interpretations in Boolean Domain," Proc. 23rd IEEE Int'l Symp. Circuits and Systems, pp. 2,913-2,916, New Orleans, May 1990.
    • (1990) Proc. 23rd IEEE Int'l Symp. Circuits and Systems
    • Falkowski, B.J.1    Perkowski, M.A.2
  • 22
    • 0029178564 scopus 로고
    • Generation of Multi-Polarity Arithmetic Transform from Reduced Representation of Boolean Functions
    • Seattle, Wash., May
    • B.J. Falkowski and C.H. Chang, "Generation of Multi-Polarity Arithmetic Transform from Reduced Representation of Boolean Functions," Proc. IEEE Int'l Symp. Circuits and Systems, pp. 2,168-2,171, Seattle, Wash., May 1995.
    • (1995) Proc. IEEE Int'l Symp. Circuits and Systems
    • Falkowski, B.J.1    Chang, C.H.2
  • 23
    • 0028552469 scopus 로고
    • Efficient Algorithms for the Calculation of Arithmetic Spectrum from OBDD and Synthesis of OBDD from Arithmetic Spectrum for Incompletely Specified Boolean Functions
    • London, May
    • B.J. Falkowski and C.H. Chang, "Efficient Algorithms for the Calculation of Arithmetic Spectrum from OBDD and Synthesis of OBDD from Arithmetic Spectrum for Incompletely Specified Boolean Functions," Proc. IEEE Int'l Symp. Circuits and Systems, vol. 1, pp. 197-200, London, May 1994.
    • (1994) Proc. IEEE Int'l Symp. Circuits and Systems , vol.1 , pp. 197-200
    • Falkowski, B.J.1    Chang, C.H.2
  • 24
    • 0030708977 scopus 로고    scopus 로고
    • Calculation of Arithmetic Spectra from Free Binary Decision Diagrams
    • Hong Kong, June
    • B.J. Falkowski and C.H. Chang, "Calculation of Arithmetic Spectra from Free Binary Decision Diagrams," Proc. IEEE Int'l Symp. Circuits and Systems, pp. 1,764-1,767, Hong Kong, June 1997.
    • (1997) Proc. IEEE Int'l Symp. Circuits and Systems
    • Falkowski, B.J.1    Chang, C.H.2
  • 25
    • 0032140893 scopus 로고    scopus 로고
    • Mutual Conversions between Generalized Arithmetic Expansions and Free Binary Decision Diagrams
    • Aug.
    • B.J. Falkowski and C.H. Chang, "Mutual Conversions between Generalized Arithmetic Expansions and Free Binary Decision Diagrams," IEE Proc. Circuits, Devices, and Systems, vol. 145, no. 4, pp. 219-228, Aug. 1998.
    • (1998) IEE Proc. Circuits, Devices, and Systems , vol.145 , Issue.4 , pp. 219-228
    • Falkowski, B.J.1    Chang, C.H.2
  • 26
    • 0032641615 scopus 로고    scopus 로고
    • An Efficient Algorithm for the Calculation of Generalized Arithmetic and Adding Transforms from Disjoint Cubes of Boolean Functions
    • Apr.
    • B.J. Falkowski and C.H. Chang, "An Efficient Algorithm for the Calculation of Generalized Arithmetic and Adding Transforms from Disjoint Cubes of Boolean Functions," VLSI Design, An Int'l J. Custom-Chip Design, Simulation and Testing, vol. 9, no. 2, pp. 135-146, Apr. 1999.
    • (1999) VLSI Design, An Int'l J. Custom-Chip Design, Simulation and Testing , vol.9 , Issue.2 , pp. 135-146
    • Falkowski, B.J.1    Chang, C.H.2
  • 27
    • 0026118306 scopus 로고
    • Arithmetic Spectrum Applied to Fault Detection for Combinational Networks
    • Mar.
    • K.D. Heidtman, "Arithmetic Spectrum Applied to Fault Detection for Combinational Networks," IEEE Trans. Computers, vol. 40, no. 3, pp. 320-324, Mar. 1991.
    • (1991) IEEE Trans. Computers , vol.40 , Issue.3 , pp. 320-324
    • Heidtman, K.D.1
  • 28
    • 0028483037 scopus 로고
    • EVBDD-Based Algorithms for Integer Linear Programming, Spectral Transformation, and Functional Decomposition
    • Aug.
    • Y.T. Lai, M. Pedram, and S.B.K. Vrudhula, "EVBDD-Based Algorithms for Integer Linear Programming, Spectral Transformation, and Functional Decomposition," IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems, vol. 13, no. 8, pp. 959-975, Aug. 1994.
    • (1994) IEEE Trans. Computer-Aided Design of Integrated Circuits and Systems , vol.13 , Issue.8 , pp. 959-975
    • Lai, Y.T.1    Pedram, M.2    Vrudhula, S.B.K.3
  • 32
    • 0003901127 scopus 로고    scopus 로고
    • Szczecin, Poland: Technical Univ. of Szczecin Press, Scientific Works of Technical Univ. of Szczecin No. 537, Inst. of Computer Science and Information Systems
    • S. Yanushkevich, Logic Differential Calculus in Multi-Valued Logic Design. Szczecin, Poland: Technical Univ. of Szczecin Press, Scientific Works of Technical Univ. of Szczecin No. 537, Inst. of Computer Science and Information Systems, 1998.
    • (1998) Logic Differential Calculus in Multi-Valued Logic Design
    • Yanushkevich, S.1
  • 33
    • 0003536179 scopus 로고
    • Review of Publications in the Former Soviet Union on Spectral Methods of Logic Data Processing and Logic Differential Calculus
    • Beijing, China, Mar.
    • V.P. Shmerko and S.V. Mikhailov, "Review of Publications in the Former Soviet Union on Spectral Methods of Logic Data Processing and Logic Differential Calculus," Proc. Fifth Int'l Workshop Spectral Techniques, pp. 48-54, Beijing, China, Mar. 1994.
    • (1994) Proc. Fifth Int'l Workshop Spectral Techniques , pp. 48-54
    • Shmerko, V.P.1    Mikhailov, S.V.2
  • 34
    • 0003741352 scopus 로고
    • London: Macmillan, reprint by New York: Dover
    • G. Boole, The Laws of Thought. London: Macmillan, 1854, reprint by New York: Dover, 1958.
    • (1854) The Laws of Thought
    • Boole, G.1
  • 35
    • 3042803334 scopus 로고
    • On the Method for Solving Logical Equations and on the Inverse Methods for Mathematical Logic
    • Kazan Univ., Kazan, Russia, (in Russian)
    • P.S. Poretski, "On the Method for Solving Logical Equations and on the Inverse Methods for Mathematical Logic," Sobranie protokolov zasedanii fiz. mat., Kazan Univ., Kazan, Russia, vol. 2, pp. 161-330, 1884 (in Russian).
    • (1884) Sobranie Protokolov Zasedanii Fiz. Mat. , vol.2 , pp. 161-330
    • Poretski, P.S.1
  • 36
    • 3042768994 scopus 로고
    • Switching Circuits Reliability
    • (in Russian)
    • V.D. Malyugin, "Switching Circuits Reliability," Avtomatika i Telemekhanika, no. 9, pp. 1,375-1,383, 1964 (in Russian).
    • (1964) Avtomatika i Telemekhanika , Issue.9
    • Malyugin, V.D.1
  • 37
    • 33747040416 scopus 로고
    • Realization of Logic Functions by Arithmetical Expressions
    • Novosibirsk: Engineering Building Inst., Russia, (in Russian)
    • V.N. Zadorozhny, "Realization of Logic Functions by Arithmetical Expressions," Automatization for Computer Structure Analysis and Synthesis, Novosibirsk: Engineering Building Inst., Russia, 1978 (in Russian).
    • (1978) Automatization for Computer Structure Analysis and Synthesis
    • Zadorozhny, V.N.1
  • 38
    • 84906329068 scopus 로고
    • Representation of Boolean Functions by Arithmetic Polynomials
    • Apr.
    • V.D. Malyugin, "Representation of Boolean Functions by Arithmetic Polynomials," Automation and Remote Control, vol. 43, no. 4, part. 1, pp. 496-504, Apr. 1982
    • (1982) Automation and Remote Control , vol.43 , Issue.4 PART. 1 , pp. 496-504
    • Malyugin, V.D.1
  • 39
    • 33747081779 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 4, pp. 84-93, 1982).
    • (1982) Avtomatika i Telemekhanika , Issue.4 , pp. 84-93
  • 40
    • 84904784351 scopus 로고
    • Realization of Corteges of Boolean Functions by Linear Arithmetic Polynomials
    • V.D. Malyugin, "Realization of Corteges of Boolean Functions by Linear Arithmetic Polynomials," Automation and Remote Control, vol. 45, no. 2, part 1, pp. 239-245, 1984
    • (1984) Automation and Remote Control , vol.45 , Issue.2 PART 1 , pp. 239-245
    • Malyugin, V.D.1
  • 41
    • 33747057017 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 2, pp. 114-122, 1984).
    • (1984) Avtomatika i Telemekhanika , Issue.2 , pp. 114-122
  • 42
    • 33747033568 scopus 로고
    • Arithmetical Representations of Petri Nets
    • V.D. Malyugin, "Arithmetical Representations of Petri Nets," Automation and Remote Control, vol. 85, no. 5, pp. 249-255, 1987
    • (1987) Automation and Remote Control , vol.85 , Issue.5 , pp. 249-255
    • Malyugin, V.D.1
  • 43
    • 33747039395 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 5, pp. 156-164, 1987).
    • (1987) Avtomatika i Telemekhanika , Issue.5 , pp. 156-164
  • 44
    • 84904774205 scopus 로고
    • Generating Boolean Functions via Arithmetic Polynomials
    • V.L. Artyukhov, V.N. Kondratev, and A.A. Shalyto, "Generating Boolean Functions via Arithmetic Polynomials," Automation and Remote Control, vol. 49, no.4, part 2, pp. 508-551, 1988
    • (1988) Automation and Remote Control , vol.49 , Issue.4 PART 2 , pp. 508-551
    • Artyukhov, V.L.1    Kondratev, V.N.2    Shalyto, A.A.3
  • 45
    • 33747033567 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 4, pp. 138-147, 1988).
    • (1988) Avtomatika i Telemekhanika , Issue.4 , pp. 138-147
  • 46
    • 84904777846 scopus 로고
    • Synthesis of Arithmetic Forms of Boolean Functions Using the Fourier Transform
    • V.P. Shmerko, "Synthesis of Arithmetic Forms of Boolean Functions Using the Fourier Transform," Automation and Remote Control, vol. 50, no. 5, part 2, pp. 684-691, 1989
    • (1989) Automation and Remote Control , vol.50 , Issue.5 PART 2 , pp. 684-691
    • Shmerko, V.P.1
  • 47
    • 33747045959 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 5, pp. 134-142, 1989).
    • (1989) Avtomatika i Telemekhanika , Issue.5 , pp. 134-142
  • 48
    • 0032072439 scopus 로고    scopus 로고
    • Forward and Inverse Transformations between Haar Wavelet and Arithmetic Functions
    • May
    • B.J. Falkowski, "Forward and Inverse Transformations between Haar Wavelet and Arithmetic Functions," IEE Electronics Letters, vol. 34, no. 11, pp. 1,084-1,085, May 1998.
    • (1998) IEE Electronics Letters , vol.34 , Issue.11
    • Falkowski, B.J.1
  • 50
    • 33747078042 scopus 로고
    • Algorithms of Boolean Differential Calculus for Systolic Processors
    • V.P. Shmerko and S.N. Yanushkevich, "Algorithms of Boolean Differential Calculus for Systolic Processors," Automation and Remote Control, pp. 345-360,1990
    • (1990) Automation and Remote Control , pp. 345-360
    • Shmerko, V.P.1    Yanushkevich, S.N.2
  • 51
    • 33747065411 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 3, pp. 31-40, 1990).
    • (1990) Avtomatika i Telemekhanika , Issue.3 , pp. 31-40
  • 54
    • 33747048264 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 4, pp. 160-167, 1993).
    • (1993) Avtomatika i Telemekhanika , Issue.4 , pp. 160-167
  • 55
  • 56
    • 21344491355 scopus 로고
    • Realization of Systems of Boolean Functions by Linear Arithmetic Polynomials
    • V.N. Kondratev and A.A. Shalito, "Realization of Systems of Boolean Functions by Linear Arithmetic Polynomials," Automation and Remote Control, pp. 472-487, 1993
    • (1993) Automation and Remote Control , pp. 472-487
    • Kondratev, V.N.1    Shalito, A.A.2
  • 57
    • 33747046822 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 3, pp. 135-151, 1993).
    • (1993) Avtomatika i Telemekhanika , Issue.3 , pp. 135-151
  • 58
    • 0031244672 scopus 로고    scopus 로고
    • Properties and Methods of Calculating Generalized Arithmetic and Adding Transforms
    • Oct.
    • B.J. Falkowski and C.H. Chang, "Properties and Methods of Calculating Generalized Arithmetic and Adding Transforms," IEE Proc. Circuits, Devices, and Systems, vol. 144, no. 5, pp. 249-258, Oct. 1997.
    • (1997) IEE Proc. Circuits, Devices, and Systems , vol.144 , Issue.5 , pp. 249-258
    • Falkowski, B.J.1    Chang, C.H.2
  • 60
    • 0029717043 scopus 로고    scopus 로고
    • Operations on Boolean Functions and Variables in Spectral Domain of Arithmetic Transform
    • Atlanta, Ga., May
    • C.H. Chang and B.J. Falkowski, "Operations on Boolean Functions and Variables in Spectral Domain of Arithmetic Transform," Proc. IEEE Int'l Symp. Circuits and Systems, vol. 4, pp. 400-403, Atlanta, Ga., May 1996.
    • (1996) Proc. IEEE Int'l Symp. Circuits and Systems , vol.4 , pp. 400-403
    • Chang, C.H.1    Falkowski, B.J.2
  • 61
    • 0032155334 scopus 로고    scopus 로고
    • Logical Manipulations and Design of Tributary Networks in the Arithmetic Spectral Domain
    • Sept.
    • C.H. Chang and B.J. Falkowski, "Logical Manipulations and Design of Tributary Networks in the Arithmetic Spectral Domain," IEE Proc. Computers and Digital Techniques, vol. 145, no. 5, pp. 347-356, Sept. 1998.
    • (1998) IEE Proc. Computers and Digital Techniques , vol.145 , Issue.5 , pp. 347-356
    • Chang, C.H.1    Falkowski, B.J.2
  • 62
    • 0029705109 scopus 로고    scopus 로고
    • Family of Fast Transforms for Mixed Arithmetic Logic
    • Atlanta, Ga., May
    • S. Rahardja and B.J. Falkowski, "Family of Fast Transforms for Mixed Arithmetic Logic," Proc. IEEE Int'l Symp. Circuits and Systems, vol. 4, pp. 396-399, Atlanta, Ga., May 1996.
    • (1996) Proc. IEEE Int'l Symp. Circuits and Systems , vol.4 , pp. 396-399
    • Rahardja, S.1    Falkowski, B.J.2
  • 63
    • 0029699366 scopus 로고    scopus 로고
    • Family of Fast Mixed Arithmetic Logic Transforms for Multiple-Valued Input Binary Functions
    • Santiago de Compostella, Spain, May
    • S. Rahardja and B.J. Falkowski, "Family of Fast Mixed Arithmetic Logic Transforms for Multiple-Valued Input Binary Functions," Proc. IEEE Int'l Symp. Multiple-Valued Logic, pp. 24-29, Santiago de Compostella, Spain, May 1996.
    • (1996) Proc. IEEE Int'l Symp. Multiple-Valued Logic , pp. 24-29
    • Rahardja, S.1    Falkowski, B.J.2
  • 64
    • 0032650447 scopus 로고    scopus 로고
    • Application of Linearly Independent Arithmetic Transform in Testing of Digital Circuits
    • Mar.
    • S. Rahardja and B.J. Falkowski, "Application of Linearly Independent Arithmetic Transform in Testing of Digital Circuits," IEE Electronics Letters, vol. 35, no. 5, pp. 363-364, Mar. 1999.
    • (1999) IEE Electronics Letters , vol.35 , Issue.5 , pp. 363-364
    • Rahardja, S.1    Falkowski, B.J.2
  • 65
    • 3042767415 scopus 로고
    • Polynomial Representation in Mulivalued Logic
    • Moscow: Science Publisher, (in Russian)
    • D.A. Postelov and Z. Tosic, "Polynomial Representation in Mulivalued Logic," Synthesis of Discrete Automata and Controllers, pp. 139-146, Moscow: Science Publisher, 1986 (in Russian).
    • (1986) Synthesis of Discrete Automata and Controllers , pp. 139-146
    • Postelov, D.A.1    Tosic, Z.2
  • 70
    • 0031208753 scopus 로고    scopus 로고
    • Generalized Hybrid Arithmetic Canonical Expansions for Completely Specified Quaternary Functions
    • Aug.
    • B.J. Falkowski and S. Rahardja, "Generalized Hybrid Arithmetic Canonical Expansions for Completely Specified Quaternary Functions," IEE Proc. Circuits, Devices, and Systems, vol. 144, no. 4, pp. 201-208, Aug. 1997.
    • (1997) IEE Proc. Circuits, Devices, and Systems , vol.144 , Issue.4 , pp. 201-208
    • Falkowski, B.J.1    Rahardja, S.2
  • 71
    • 0037908299 scopus 로고
    • On an Analog of Fourier Expansion over Galois Fields and Its Applications to Problems of Generalized Sequential Machines
    • Ser. Fiz.-Techn. I Math. Nauk., (in Russian)
    • M.U. Garaev and R.G. Faradzhev, "On an Analog of Fourier Expansion over Galois Fields and Its Applications to Problems of Generalized Sequential Machines," Izv. Akad. Nauk Azerb. SSR, Ser. Fiz.-Techn. I Math. Nauk., no. 6, pp. 1-68, 1965 (in Russian).
    • (1965) Izv. Akad. Nauk Azerb. SSR , Issue.6 , pp. 1-68
    • Garaev, M.U.1    Faradzhev, R.G.2
  • 74
    • 33747035747 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 2, pp. 120-131, 1992).
    • (1992) Avtomatika i Telemekhanika , Issue.2 , pp. 120-131
  • 76
    • 21844481651 scopus 로고
    • Linear Arithmetic Forms of k-Valued Logic Functions and Their Implementation on Systolic Arrays
    • V.M. Antonenko, A.A. Ivanov, and V.P. Shmerko, "Linear Arithmetic Forms of k-Valued Logic Functions and Their Implementation on Systolic Arrays," Automation and Remote Control, vol. 56, no. 3, pp. 419-432, 1995
    • (1995) Automation and Remote Control , vol.56 , Issue.3 , pp. 419-432
    • Antonenko, V.M.1    Ivanov, A.A.2    Shmerko, V.P.3
  • 77
    • 33747050257 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 3, pp. 139-151, 1995).
    • (1995) Avtomatika i Telemekhanika , Issue.3 , pp. 139-151
  • 78
    • 4043084634 scopus 로고
    • Systolic Algorithms to Synthesize Arithmetical Polynomial Forms for k-Valued Logic Functions
    • S.N. Yanushkevich, "Systolic Algorithms to Synthesize Arithmetical Polynomial Forms for k-Valued Logic Functions," Automation and Remote Control, vol. 55, no. 5, part 2, pp. 715-729, 1994
    • (1994) Automation and Remote Control , vol.55 , Issue.5 PART 2 , pp. 715-729
    • Yanushkevich, S.N.1
  • 79
    • 33747047420 scopus 로고
    • a translation
    • (a translation of Avtomatika i Telemekhanika, no. 12, pp. 128-141, 1994).
    • (1994) Avtomatika i Telemekhanika , Issue.12 , pp. 128-141
  • 80
    • 0009767315 scopus 로고
    • Spectral and Differential Methods to Synthesize Polynomial Forms of MVL-Function on Systolic Arrays
    • Beijing, China, Mar.
    • S.N. Yanushkevich, "Spectral and Differential Methods to Synthesize Polynomial Forms of MVL-Function on Systolic Arrays," Proc. Fifth Int'l Workshop Spectral Techniques, pp. 78-83, Beijing, China, Mar. 1994.
    • (1994) Proc. Fifth Int'l Workshop Spectral Techniques , pp. 78-83
    • Yanushkevich, S.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.