## Found 94 Documents (Results 1–94)

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### Non-existence results for vectorial bent functions with Dillon exponent. (English)Zbl 07533801

MSC:  94D10 94A60 11T71
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### Bent partitions. (English)Zbl 07500619

MSC:  94D10 05B10 94C11
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### A lower bound on the number of inequivalent APN functions. (English)Zbl 07451330

MSC:  11T71 94D10
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### Formal self duality. (English)Zbl 07502019

MSC:  20C15 20K01 94D10
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### Investigation for 8-bit SKINNY-like S-boxes, analysis and applications. (English)Zbl 07502009

MSC:  94A60 94D10
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MSC:  68Pxx
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MSC:  94D10
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### The number of almost perfect nonlinear functions grows exponentially. (English)Zbl 1483.94081

MSC:  94D10 11T71 06E30
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### The number of affine equivalent classes and extended affine equivalent classes of vectorial Boolean functions. (English)Zbl 1460.94101

MSC:  94D10 94A60 06E30
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### Optimization by the General Efficiency. (English)Zbl 07496243

MSC:  90C48 90B50

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### Crooked functions. (English)Zbl 1486.11154

Davis, James A. (ed.), Finite fields and their applications. Proceedings of the 14th international conference on finite fields and their applications (Fq14), Vancouver, Canada, June 3–7, 2019. Berlin: De Gruyter. De Gruyter Proc. Math., 87-101 (2020).
MSC:  11T71 94D10 06E30
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### Linear codes from vectorial Boolean power functions. (English)Zbl 1465.94104

MSC:  94B05 11L03 11T71
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### Handling vectorial functions by means of their graph indicators. (English)Zbl 1452.94040

MSC:  94A29 94D10
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### On the boomerang uniformity of quadratic permutations. (English)Zbl 1465.94097

MSC:  94A62 94A60
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### On constructions and properties of $$(n,m)$$-functions with maximal number of bent components. (English)Zbl 1454.94109

MSC:  94A60 11T71 14G50
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### An answer to an open problem of Mesnager on bent functions. (English)Zbl 1441.94087

MSC:  94A60 94D10
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### Algorithms for computing cryptographic characteristics of vectorial Boolean functions. (Russian. English summary)Zbl 1462.94042

MSC:  94A60 94D10
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### Vectorial Boolean functions with very low differential-linear uniformity using Maiorana-McFarland type construction. (English)Zbl 1456.94147

Hao, Feng (ed.) et al., Progress in cryptology – INDOCRYPT 2019. 20th international conference on cryptology in India, Hyderabad, India, December 15–18, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11898, 341-360 (2019).
MSC:  94D10 94A60 94C11
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### An improvement of correlation analysis for vectorial Boolean functions. (English)Zbl 1454.94072

Buchmann, Johannes (ed.) et al., Progress in cryptology – AFRICACRYPT 2019. 11th international conference on cryptology in Africa, Rabat, Morocco, July 9–11, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11627, 250-269 (2019).
MSC:  94A60 94D10
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### Differential uniformity and the associated codes of cryptographic functions. (English)Zbl 1419.94033

MSC:  94A60 11T71
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### New links between nonlinearity and differential uniformity. (English)Zbl 1411.94053

MSC:  94A60 11T71 14G50
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### On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures. (English)Zbl 1454.94149

MSC:  94D10 05B10
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### On constructing APN permutations using subfunctions. (Russian. English summary)Zbl 07311625

MSC:  05-XX 11-XX
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### Permutation binomial functions over finite fields. (Russian, English)Zbl 1463.94082

Diskretn. Anal. Issled. Oper. 25, No. 4, 59-80 (2018); translation in J. Appl. Ind. Math. 12, No. 4, 694-705 (2018).
MSC:  94D10
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### Bent and vectorial bent functions, partial difference sets, and strongly regular graphs. (English)Zbl 1417.94129

MSC:  94D10 05B10 11T06
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MSC:  94A60
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### Vectorial bent functions and their duals. (English)Zbl 1391.94862

MSC:  94B25 05E18 11T71
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### Dimension-free $$L^p$$ estimates for vectors of Riesz transforms associated with orthogonal expansions. (English)Zbl 1380.42022

MSC:  42C10 42A50 33C50
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### On existence of vectorial bent functions from the $$\mathcal{PS}_{\mathrm{ap}}$$ class. (Chinese. English summary)Zbl 07494581

MSC:  06E30 11T71
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### Further study on weakly APN functions. (Chinese. English summary)Zbl 1399.11185

MSC:  11T71 94A60

### S-boxes from binary quasi-cyclic codes. (English)Zbl 1429.94054

Kabatiansky, Grigory (ed.) et al., Algebraic and combinatorial coding theory – 2016. Selected papers from the 15th international workshop (ACCT-XV), Albena, Bulgaria, June 18–24, 2016. Amsterdam: Elsevier. Electron. Notes Discrete Math. 57, 67-72 (2017).
MSC:  94A60 94B15
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### Optimization of the high nonlinear S-boxes generation method. (English)Zbl 1436.94090

MSC:  94A60 68P25
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### Binary linear codes from vectorial Boolean functions and their weight distribution. (English)Zbl 1403.94113

MSC:  94B05 94A62 94D10
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### Partial spread and vectorial generalized bent functions. (English)Zbl 1408.94997

MSC:  94C10 06E30 05B10
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### A note on certain representations in characteristic $$p$$ and associated functions. (English)Zbl 1368.11103

MSC:  11M38 11R58 20C05
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### Tracking controller design for random nonlinear benchmark system. (English)Zbl 1355.93177

MSC:  93E03 93A30 93D30
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### Characterization of almost perfect nonlinear functions in terms of subfunctions. (English. Russian original)Zbl 1409.94939

Discrete Math. Appl. 26, No. 4, 193-202 (2016); translation from Diskretn. Mat. 27, No. 3, 3-16 (2015).
MSC:  94B25 06E30
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### On the maximal component algebraic immunity of vectorial Boolean functions. (Russian, English)Zbl 1349.94129

Diskretn. Anal. Issled. Oper. 23, No. 2, 88-99 (2016); translation in J. Appl. Ind. Math. 10, No. 2, 257-263 (2016).
MSC:  94A60 06E30
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### On the symmetric properties of APN functions. (Russian, English)Zbl 1349.94135

Diskretn. Anal. Issled. Oper. 23, No. 1, 65-81 (2016); translation in J. Appl. Ind. Math. 10, No. 1, 126-135 (2016).
MSC:  94A60 11T71 94C10
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### Generalized Rothaus construction and non-weakly regular bent functions. (English)Zbl 1360.11139

MSC:  11T71 94D05
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### Non weakly regular bent polynomials from vectorial quadratic functions. (English)Zbl 1409.94949

Kyureghyan, Gohar (ed.) et al., Topics in finite fields. 11th international conference on finite fields and their applications (Fq11), Magdeburg, Germany, July 22–26, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 632, 83-93 (2015).
MSC:  94C10 06E30 11T24
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### Constructing vectorial Boolean functions with high algebraic immunity based on group decomposition. (English)Zbl 1375.94145

MSC:  94A60 06E30
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### Local limit theorem for the distribution of incomplete vector formed by the weights of subfunctions of random binary mapping components. (Russian. English summary)Zbl 1476.94073

MSC:  94D10 60F05
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### A method for generation of high-nonlinear S-boxes based on gradient descent. (English)Zbl 1475.94126

MSC:  94A60 94D10
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### A recursive construction of highly nonlinear resilient vectorial functions. (English)Zbl 1339.94042

MSC:  94A60 68P25
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### Complex-valued random fields for vectorial data: estimating and modeling aspects. (English)Zbl 1321.86018

MSC:  86A32 62M40
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### The intersection of the spectra of two Sturm-Liouville equations. (English)Zbl 1391.34137

MSC:  34L15 34B24
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### A note on vectorial bent functions. (English)Zbl 1285.94058

MSC:  94A60 94C10 68W30
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### On CCZ-equivalence of addition mod $$2^n$$. (English)Zbl 1259.94055

MSC:  94A60 06E30 11T71
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### Scalarization method for Levitin-Polyak well-posedness of vectorial optimization problems. (English)Zbl 1258.49037

MSC:  49K40 49K35
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### Verification of restricted EA-equivalence for vectorial Boolean functions. (English)Zbl 1301.94176

Özbudak, Ferruh (ed.) et al., Arithmetic of finite fields. 4th international workshop, WAIFI 2012, Bochum, Germany, July 16–19, 2012. Proceedings. Berlin: Springer (ISBN 978-3-642-31661-6/pbk). Lecture Notes in Computer Science 7369, 108-118 (2012).
MSC:  94C10
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### On known and new differentially uniform functions. (English)Zbl 1279.94060

Parampalli, Udaya (ed.) et al., Information security and privacy. 16th Australasian conference, ACISP 2011, Melbourne, Australia, July 11–13, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22496-6/pbk). Lecture Notes in Computer Science 6812, 1-15 (2011).
MSC:  94A60 11T71
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### Vectorial resilient $$\mathrm{PC}(l)$$ of order $$k$$ Boolean functions from AG-codes. (English)Zbl 1210.94109

MSC:  94B27 94A60 94D10
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### Constructing new APN functions from known ones. (English)Zbl 1184.94228

MSC:  94D10 94A60 11T71
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### On differential uniformity and nonlinearity of functions. (English)Zbl 1159.94005

MSC:  94A60 11T71 14G50
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### On maximal element theorems, variants of Ekeland’s variational principle and their applications. (English)Zbl 1133.58006

MSC:  58E30 49J35 54H25
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### Direct methods in the calculus of variations. 2nd ed. (English)Zbl 1140.49001

Applied Mathematical Sciences 78. Berlin: Springer (ISBN 978-0-387-35779-9/hbk). xii, 619 p. (2008).

### The simplest method for constructing APN polynomials EA-inequivalent to power functions. (English)Zbl 1177.94133

Carlet, Claude (ed.) et al., Arithmetic of finite fields. First international workshop, WAIFI 2007, Madrid, Spain, June 21–22, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73073-6/pbk). Lecture Notes in Computer Science 4547, 177-188 (2007).
MSC:  94A60
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### On the classification of 4 bit S-boxes. (English)Zbl 1184.94239

Carlet, Claude (ed.) et al., Arithmetic of finite fields. First international workshop, WAIFI 2007, Madrid, Spain, June 21–22, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73073-6/pbk). Lecture Notes in Computer Science 4547, 159-176 (2007).
MSC:  94A60
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### A computational definition of the notion of vectorial space. (English)Zbl 1272.68166

Martí-Oliet, N. (ed.), Proceedings of the fifth international workshop on rewriting logic and its applications (WRLA 2004), Barcelona, Spain, March 27–28, 2004. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 117, 249-261 (2005).
MSC:  68Q42 15A03 15A69
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### Vectorial functions and covering sequences. (English)Zbl 1119.94006

Mullen, Gary L. (ed.) et al., Finite fields and applications. 7th international conference, $${\mathbb{F}}_{q^7}$$, Toulouse, France, May 5–9, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21324-4/pbk). Lecture Notes in Computer Science 2948, 215-248 (2004).
MSC:  94A60 68P25

### Characterization of linear structures. (English)Zbl 0963.94021

MSC:  94A60 11T71
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MSC:  93E25

### On the Borel-Laplace transform. (English)Zbl 1125.30320

MSC:  30G30 30E05

### A method which generates splines in $$H$$-locally convex spaces and connections with vectorial optimization. (English)Zbl 0914.41019

MSC:  41A65 41A15
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### Best approximation in $$H$$-locally convex spaces. (English)Zbl 0914.41018

Proceedings of the 3rd international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 23–28, 1996. Vols. I and II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, 723-733 (1998).
MSC:  41A65

### Constructive approximation on the sphere. With applications to geomathematics. (English)Zbl 0896.65092

Numerical Mathematics and Scientific Computation. Oxford: Clarendon Press. xv, 427 p. (1998).

### An analogue of the Weierstrass $$\zeta$$-function in characteristic $$p$$. (English)Zbl 0871.11042

MSC:  11G07 14G10 14G20
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### Generalization of variationally consistent plate theories on the basis of a vectorial formulation. (English)Zbl 0982.74545

MSC:  74K20 74H10
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### Elastic waves in discontinuous media: Three-dimensional scattering. (English)Zbl 0815.73015

MSC:  74J10 74J20 35J05
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### Axiomatic approach to duality in optimization. (English)Zbl 0763.90075

MSC:  90C29 49N15
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### A constructive method for solving the displacement boundary-value problem of elastostatics by use of global basis systems. (English)Zbl 0701.73077

Reviewer: R.L.Huston
MSC:  74S30 74B05 65D15 41A30 33E99
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### Compact and absolutely summing operators on C(K). (Spanish. English summary)Zbl 0651.47015

Proc. 11th Span.-Port. Conf Math., Badajoz/Spain 1986, Vol. 1, Publ. Dep. Mat. Univ. Extremadura 18, 262-270 (1987).

### Periodic functions and Selberg trace formula for trees. (Fonctions périodiques et formule des traces de Selberg sur les arbres.) (French)Zbl 0634.10027

MSC:  11F72 05C05 11M36

### Nonlinear evolution equations and applications. (Ecuaţii neliniare de evoluţie şi aplicaţii). With a preface by Viorel Barbu. (Romanian)Zbl 0668.47046

Analiză Modernă şi Aplicaţii. Bucureşti: Editura Academiei Republicii Socialiste România. 208 p.; Lei 17.50 (1986).

### On the core of a vectorial function. (Spanish. English summary)Zbl 0636.28003

MSC:  28B05 28C15

### A boundary-integral equation method for bending of orthotropic plates. (English)Zbl 0532.73079

MSC:  74S30 65R20 74E10 74K20
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### Multiple-criteria optimization under uncertainty: Concepts of optimality and sufficient conditions. (English)Zbl 0534.90078

Theory and practice of multiple criteria decision making, Collect. Pap. Workshop, Moscow 1981, 91-105 (1983).
Reviewer: F.Benito

### On the use of matric polynomials in the description of nonlinear discrete systems. (English)Zbl 0507.93049

Mathematics at the service of man, Proc. 2nd World Conf., Las Palmas/Spain 1982, 266-274 (1982).
MSC:  93C55 93C10 15A54 15A27 15A15 68U20 93C35 39A11 93D99

### Analytische Operatoren vektorieller Veränderlicher in komplexen und reellen Banach-Räumen. I. (German)Zbl 0449.46045

MSC:  46G20 32A30 47H99

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