International Journal of Electronics, ISSN 0020-7217, 12/2015, Volume 102, Issue 12, pp. 2062 - 2074

Journal Article

CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, ISSN 1936-2447, 04/2016, Volume 8, Issue 2, pp. 277 - 289

Many modern ciphers have a substitution-permutation (SP) network as a main component. This design is well researched in relation to Advanced Encryption...

Binary decision diagram | MATHEMATICS, APPLIED | Addition modulo 2(n) | Block cipher | Algebraic attack | COMPUTER SCIENCE, THEORY & METHODS

Binary decision diagram | MATHEMATICS, APPLIED | Addition modulo 2(n) | Block cipher | Algebraic attack | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Journal of Number Theory, ISSN 0022-314X, 07/2018, Volume 188, pp. 357 - 370

We continue our study of a basic but seemingly intractable problem in integer partition theory, namely the conjecture that p(n) is odd exactly 50% of the time....

Modular form modulo 2 | Partition identity | Partition function | Multipartition function | Density odd values | CONGRUENCE PROPERTIES | NUMBER | MATHEMATICS | PARITY | INTEGERS | P(N) | RAMANUJAN | CRANK

Modular form modulo 2 | Partition identity | Partition function | Multipartition function | Density odd values | CONGRUENCE PROPERTIES | NUMBER | MATHEMATICS | PARITY | INTEGERS | P(N) | RAMANUJAN | CRANK

Journal Article

Dianzi Yu Xinxi Xuebao/Journal of Electronics and Information Technology, ISSN 1009-5896, 09/2012, Volume 34, Issue 9, pp. 2156 - 2160

Journal Article

Guofang Keji Daxue Xuebao/Journal of National University of Defense Technology, ISSN 1001-2486, 04/2012, Volume 34, Issue 2, pp. 42 - 45

Journal Article

Shanghai Jiaotong Daxue Xuebao/Journal of Shanghai Jiaotong University, ISSN 1006-2467, 03/2011, Volume 45, Issue 3, pp. 321 - 326

Journal Article

Cybernetics and Systems Analysis, ISSN 1060-0396, 9/2019, Volume 55, Issue 5, pp. 752 - 759

A matrix representation and upper bounds on the imbalance of an arbitrary discrete function implemented by a sequence of finite automata are obtained. The...

Processor Architectures | Strumok | imbalance of a discrete function | Systems Theory, Control | Artificial Intelligence | Software Engineering/Programming and Operating Systems | SNOW 2.0 | Mathematics | correlation cryptanalysis | addition modulo 2 n operation | finite automaton

Processor Architectures | Strumok | imbalance of a discrete function | Systems Theory, Control | Artificial Intelligence | Software Engineering/Programming and Operating Systems | SNOW 2.0 | Mathematics | correlation cryptanalysis | addition modulo 2 n operation | finite automaton

Journal Article

IEEE Transactions on Computers, ISSN 0018-9340, 02/1998, Volume 47, Issue 2, pp. 162 - 170

This contribution introduces a new class of multipliers for finite fields GF((2/sup n/)/sup 4/). The architecture is based on a modified version of the...

Computer network reliability | Signal processing algorithms | Computer architecture | Very large scale integration | Polynomials | Application software | Galois fields | Computational complexity | Delay | Arithmetic | Karatsuba Ofman | Multiplication | Composite fields | Modulo reduction | VLSI architecture | Bit parallel | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | FINITE-FIELDS | composite fields | bit parallel | ENGINEERING, ELECTRICAL & ELECTRONIC | GF(2M) | module reduction | GF(2(M)) | PARALLEL MULTIPLIERS | multiplication | Computer science | Computer programming | Fields, Algebraic | Analysis | Multipliers (Electronics) | Models | Mathematics

Computer network reliability | Signal processing algorithms | Computer architecture | Very large scale integration | Polynomials | Application software | Galois fields | Computational complexity | Delay | Arithmetic | Karatsuba Ofman | Multiplication | Composite fields | Modulo reduction | VLSI architecture | Bit parallel | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | FINITE-FIELDS | composite fields | bit parallel | ENGINEERING, ELECTRICAL & ELECTRONIC | GF(2M) | module reduction | GF(2(M)) | PARALLEL MULTIPLIERS | multiplication | Computer science | Computer programming | Fields, Algebraic | Analysis | Multipliers (Electronics) | Models | Mathematics

Journal Article

2012 IEEE 14th International Conference on Communication Technology, 11/2012, pp. 1257 - 1261

This paper presents a digital intermediate frequency (IF) quadrature modulator realized by a single-bit band pass sigma-delta DAC, in which a pair of...

2′ complement | DSP | Sigma Delta Modulation | Carry Save | Modulo Arithmetic | 2′ complement

2′ complement | DSP | Sigma Delta Modulation | Carry Save | Modulo Arithmetic | 2′ complement

Conference Proceeding

International Journal of Number Theory, ISSN 1793-0421, 06/2008, Volume 4, Issue 3, pp. 339 - 347

We consider the notion of a balanced set modulo N. A nonempty set S of residues modulo N is balanced if for each x ∈ S, there is a d with 0 < d ≤ N/2 such that...

Minimal size | Balanced set modulo N | Vector game | MATHEMATICS | minimal size | balanced set modulo N | vector game

Minimal size | Balanced set modulo N | Vector game | MATHEMATICS | minimal size | balanced set modulo N | vector game

Journal Article

IEEE Transactions on Computers, ISSN 0018-9340, 08/1994, Volume 43, Issue 8, pp. 892 - 898

A very simple multiplier cell is developed for use in a linear, purely systolic array forming a digit-serial multiplier for unsigned or 2'complement operands....

Computer science | Councils | Digital signal processing | Frequency | Systolic arrays | Mathematics | Cryptography | Application software | Clocks | Nearest neighbor searches | comple- ment multiplication modulo-multiplication and exponentiation RSA modular inverse modular division exact division Hensel codes | Systolic array digit-serial multiplier 2 | RSA | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | 2' COMPLEMENT MULTIPLICATION | MODULAR DIVISION | SYSTOLIC ARRAY | MODULO-MULTIPLICATION AND EXPONENTIATION | MODULAR INVERSE | DIGIT-SERIAL MULTIPLIER | AND HENSEL CODES | DIVISION | EXACT DIVISION | ENGINEERING, ELECTRICAL & ELECTRONIC | Research | Multipliers (Mathematical analysis) | Innovations | Mathematical programming

Computer science | Councils | Digital signal processing | Frequency | Systolic arrays | Mathematics | Cryptography | Application software | Clocks | Nearest neighbor searches | comple- ment multiplication modulo-multiplication and exponentiation RSA modular inverse modular division exact division Hensel codes | Systolic array digit-serial multiplier 2 | RSA | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | 2' COMPLEMENT MULTIPLICATION | MODULAR DIVISION | SYSTOLIC ARRAY | MODULO-MULTIPLICATION AND EXPONENTIATION | MODULAR INVERSE | DIGIT-SERIAL MULTIPLIER | AND HENSEL CODES | DIVISION | EXACT DIVISION | ENGINEERING, ELECTRICAL & ELECTRONIC | Research | Multipliers (Mathematical analysis) | Innovations | Mathematical programming

Journal Article

IEEE Transactions on Information Theory, ISSN 0018-9448, 03/1999, Volume 45, Issue 2, pp. 807 - 809

In this article it is shown how Gauss' (1981) famous cyclotomic sum formula can be used for extracting square-roots modulo N.

Jacobian matrices | Polynomials | Cryptography | Equations | Gaussian processes | Square-roots modulo n | Gauss sums | Factoring | factoring | square-roots modulo N | FINITE-FIELDS | COMPUTER SCIENCE, INFORMATION SYSTEMS | cryptography | ENGINEERING, ELECTRICAL & ELECTRONIC | Factor tables | Research | Square root | Information theory

Jacobian matrices | Polynomials | Cryptography | Equations | Gaussian processes | Square-roots modulo n | Gauss sums | Factoring | factoring | square-roots modulo N | FINITE-FIELDS | COMPUTER SCIENCE, INFORMATION SYSTEMS | cryptography | ENGINEERING, ELECTRICAL & ELECTRONIC | Factor tables | Research | Square root | Information theory

Journal Article

Bulletin of the Malaysian Mathematical Sciences Society, ISSN 0126-6705, 2014, Volume 37, Issue 2, pp. 345 - 357

The zero-divisor graph of a commutative ring with unity (say R) is a graph whose vertices are the nonzero zero-divisors of this ring, where two distinct...

Integers modulo n | Zero-divisor graph | Independence number | MATHEMATICS | independence number | integers modulo n

Integers modulo n | Zero-divisor graph | Independence number | MATHEMATICS | independence number | integers modulo n

Journal Article

1972, Oxford mathematical monographs, 128

Book

International Journal of Number Theory, ISSN 1793-0421, 06/2015, Volume 11, Issue 4, pp. 1063 - 1072

The notion of Fu's k dots bracelet partitions was introduced by Shishuo Fu. For any positive integer k, let k(n) denote the number of Fu's k dots bracelet...

partitions | k dots bracelet partitions | Congruence | MATHEMATICS | CONGRUENCES MODULO POWERS | Jewelry

partitions | k dots bracelet partitions | Congruence | MATHEMATICS | CONGRUENCES MODULO POWERS | Jewelry

Journal Article

Fundamenta Mathematicae, ISSN 0016-2736, 1998, Volume 156, Issue 2, pp. 111 - 129

Let Sq denote the set of squares, and let SQ(n) be the squaring function restricted to powers of n; let perpendicular to denote the coprimeness relation. Let...

Pascal's triangle modulo n | Decidability | Definability | MATHEMATICS | decidability | definability | SETS | PREDICATE | PRIMES | Pascal's triangle module n

Pascal's triangle modulo n | Decidability | Definability | MATHEMATICS | decidability | definability | SETS | PREDICATE | PRIMES | Pascal's triangle module n

Journal Article

Transactions on Combinatorics, ISSN 2251-8657, 09/2014, Volume 3, Issue 3, pp. 11 - 20

Let $R$ be a commutative ring with zero-divisor set $Z(R)$. The total graph of $R$, denoted by $T(Gamma(R))$, is the simple (undirected) graph with vertex set...

Constant-sum k-flow | the ring of integers modulo n | zero-sum k-flow | minimum flow | total graph of a commutative ring

Constant-sum k-flow | the ring of integers modulo n | zero-sum k-flow | minimum flow | total graph of a commutative ring

Journal Article

Filomat, ISSN 0354-5180, 1/2013, Volume 27, Issue 2, pp. 333 - 339

In this paper, we study 𝓘-paracompact spaces and discuss their properties. Also, we characterize 𝓘-paracompact spaces. Some of the results in paracompact...

Topological theorems | Mathematical theorems | General topology | Topological spaces | College mathematics | set | Generalized F | Perfectly normal | Totally normal | Paracompact modulo I space | Ideal | MATHEMATICS | MATHEMATICS, APPLIED | generalized F-sigma-set | perfectly normal | totally normal | paracompact modulo I space

Topological theorems | Mathematical theorems | General topology | Topological spaces | College mathematics | set | Generalized F | Perfectly normal | Totally normal | Paracompact modulo I space | Ideal | MATHEMATICS | MATHEMATICS, APPLIED | generalized F-sigma-set | perfectly normal | totally normal | paracompact modulo I space

Journal Article

Turkish Journal of Mathematics, ISSN 1300-0098, 2017, Volume 41, Issue 3, pp. 756 - 774

In this paper, we investigate the arithmetic properties of l-regular overpartition pairs. Let (B) over bar (l)(n) denote the number of l-regular overpartition...

Regular partition | Congruences | Theta function | Overpartition pair | MATHEMATICS | overpartition pair | BIPARTITIONS | 3-CORES | theta function | PARTITIONS | regular partition | MODULO POWERS

Regular partition | Congruences | Theta function | Overpartition pair | MATHEMATICS | overpartition pair | BIPARTITIONS | 3-CORES | theta function | PARTITIONS | regular partition | MODULO POWERS

Journal Article

Journal of Number Theory, ISSN 0022-314X, 2010, Volume 130, Issue 7, pp. 1590 - 1601

In this paper, using the properties of the moments of p-adic measures, we establish some identities and Kummer likewise congruences concerning Euler numbers...

Euler numbers and polynomials | Congruences | Moments sequence | Laplace transform | Identities | p-Adic measures | P-Adic measures | MATHEMATICS | MODULO POWERS

Euler numbers and polynomials | Congruences | Moments sequence | Laplace transform | Identities | p-Adic measures | P-Adic measures | MATHEMATICS | MODULO POWERS

Journal Article

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