## Found 508 Documents (Results 1–100)

100
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### Minimal linear codes from weakly regular bent functions. (English)Zbl 07513151

MSC:  94B05 94A24 94C10
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### Permutations without linear structures inducing bent functions outside the completed Maiorana-McFarland class. (English)Zbl 1484.05010

MSC:  05A05 11T55 94D10
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MSC:  94D10
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### Bent partitions. (English)Zbl 07500619

MSC:  94D10 05B10 94C10
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### Two secondary constructions of bent functions without initial conditions. (English)Zbl 07494008

MSC:  94D10 94A60 06E30
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### Fourier transforms on finite group actions and bent functions. (English)Zbl 07490068

MSC:  43A25 11T71 20C99
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### On the constructions of resilient Boolean functions with five-valued Walsh spectra and resilient semi-bent functions. (English)Zbl 1485.94176

MSC:  94D10 11T71
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### $$C$$-differential bent functions and perfect nonlinearity. (English)Zbl 07439560

MSC:  94D10 06E30 11T71
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MSC:  94D10
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### Invariants for EA- and CCZ-equivalence of APN and AB functions. (English)Zbl 07502029

MSC:  94D10 94A60
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### Some general properties of modified bent functions through addition of indicator functions. (English)Zbl 07502025

MSC:  94D10 94A60
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MSC:  94D10
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### Boolean functions with six-valued Walsh spectra and their application. (English)Zbl 07500430

MSC:  94C10 94B05
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### Exploring semi-bent Boolean functions arising from cellular automata. (English)Zbl 07497458

Gwizdałła, Tomasz M. (ed.) et al., Cellular automata. 14th international conference on cellular automata for research and industry, ACRI 2020, Lodz, Poland, December 2–4, 2020. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12599, 56-66 (2021).
MSC:  68Q80 94A60 94D10
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### Algebraic construction of near-bent function with application to cryptography. (English)Zbl 1484.94042

MSC:  94D10 94A60
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### Improved lower bound for algebraic immunity of a subclass of MM bent Boolean functions. (English)Zbl 07477466

MSC:  94D10 94A60
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### On known constructions of APN and AB functions and their relation to each other. (English)Zbl 1484.94043

MSC:  94D10 94A60 94A15
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MSC:  94D10
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### A generic construction of rotation symmetric bent functions. (English)Zbl 07449475

MSC:  94D10 06E30
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### EA-inequivalence of bent functions. (English)Zbl 07447204

MSC:  68R01 11T71 94C10
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### Linear codes from functions. (English)Zbl 07434634

Huffman, W. Cary (ed.) et al., Concise encyclopedia of coding theory. Boca Raton, FL: CRC Press. 463-526 (2021).

### Three classes of balanced vectorial semi-bent functions. (English)Zbl 07424771

MSC:  94D10 94A60
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### Construction of balanced vectorial Boolean functions with almost optimal nonlinearity and very low differential-linear uniformity. (English)Zbl 07418919

MSC:  94D10 94A60
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### A new method for secondary constructions of vectorial bent functions. (English)Zbl 07411088

MSC:  94D10 94A60 06E30
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### On hyper-bent functions in polynomial forms. (English)Zbl 07403642

MSC:  94D10 11T71
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### Some punctured codes of several families of binary linear codes. (English)Zbl 07391857

MSC:  94B05 94D10
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MSC:  94D10
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### Connections between quaternary and Boolean bent functions. (English)Zbl 07360168

MSC:  94D10 11T71 14G50
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### Constructing vectorial bent functions via second-order derivatives. (English)Zbl 07358461

MSC:  94D10 94Cxx
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MSC:  94D10
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### Gowers $$U_2$$ norm as a measure of nonlinearity for Boolean functions and their generalizations. (English)Zbl 1466.94076

MSC:  94D10 06E30
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### Relation between o-equivalence and EA-equivalence for Niho bent functions. (English)Zbl 1469.94250

MSC:  94D10 51E21 94A60
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MSC:  94D10
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### Bent and $$\mathbb{Z}_{2^k}$$-bent functions from spread-like partitions. (English)Zbl 1475.94219

MSC:  94D10 05B10
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### Shifted plateaued functions and their differential properties. (English)Zbl 1469.94246

MSC:  94D10 05B10
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### Recent results and problems on constructions of linear codes from cryptographic functions. (English)Zbl 1469.94135

MSC:  94B05 94D10 11T71
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### Vectorial bent functions in odd characteristic and their components. (English)Zbl 1468.94965

MSC:  94D10 11T71
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MSC:  94D10
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### On the linear structures of balanced functions and quadratic APN functions. (English)Zbl 1469.94258

MSC:  94D10 94A60
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### Crooked functions. (English)Zbl 07358951

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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### New constructions of codebooks nearly meeting the Welch bound. (English)Zbl 1462.94068

MSC:  94B05 94B65 94D10
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### Classification of quadratic APN functions with coefficients in $$\mathbb{F}_2$$ for dimensions up to 9. (English)Zbl 1473.94180

MSC:  94D10 94A60
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MSC:  94D10
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### The research on the properties of Fourier matrix and bent function. (English)Zbl 1468.94978

MSC:  94D10 94A60 15B34
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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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### On $$q$$-ary bent and plateaued functions. (English)Zbl 1465.94163

MSC:  94D10 94A60
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### A general framework for secondary constructions of bent and plateaued functions. (English)Zbl 1465.94153

MSC:  94D10 94A60
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### On generalized hyper-bent functions. (English)Zbl 1478.11151

MSC:  11T71 94D10 94A60
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### Combinatorial designs, difference sets, and bent functions as perfect colorings of graphs and multigraphs. (English. Russian original)Zbl 1448.05028

Sib. Math. J. 61, No. 5, 867-877 (2020); translation from Sib. Mat. Zh. 61, No. 5, 1087-1100 (2020).
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### New characterizations and construction methods of bent and hyper-bent Boolean functions. (English)Zbl 1460.94102

MSC:  94D10 11T71
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MSC:  94D10
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### Perspectives on $$p$$-ary bent functions. (English)Zbl 1464.94085

Baginski, Paul (ed.) et al., Elementary theory of groups and group rings, and related topics. Proceedings of the conference held at Fairfield University and at the Graduate Center, CUNY, New York, NY, USA, November 1–2, 2018. Berlin: De Gruyter. De Gruyter Proc. Math., 103-126 (2020).
MSC:  94D10 94A60
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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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### Generalized bent Boolean functions and strongly regular Cayley graphs. (English)Zbl 1442.05250

MSC:  05E30 05C25 94D10
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### Linear codes with few weights from cyclotomic classes and weakly regular bent functions. (English)Zbl 1448.94277

MSC:  94B05 11T71 94D10
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### On $$q$$-nearly bent Boolean functions. (English)Zbl 1434.94121

MSC:  94D10 06E30
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### A new lower bound on the second-order nonlinearity of a class of monomial bent functions. (English)Zbl 1446.94218

MSC:  94D10 11T71 94A60
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### Duals of non-weakly regular bent functions are not weakly regular and generalization to plateaued functions. (English)Zbl 1481.94169

MSC:  94D10 11T71 94A60
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### New nonexistence results on $$(m, n)$$-generalized bent functions. (English)Zbl 1454.94151

MSC:  94D10 11T71
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MSC:  94D10
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MSC:  94D10
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MSC:  94D10
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### A construction of bent functions with optimal algebraic degree and large symmetric group. (English)Zbl 07136837

MSC:  03G05 06E25
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### A Boolean functions view on the Golay-Rudin-Shapiro sequence. (English)Zbl 1484.11091

MSC:  11B83 11K31 94D10

### New classes of 8-bit permutations based on a butterfly structure. (English)Zbl 1473.94098

MSC:  94A60 05A05 94D10
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### A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects. (English)Zbl 1444.05034

Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 23, 241-253 (2019).
MSC:  05B20 05B10 94D10
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### Construction of bent functions using covering extended building sets. (English)Zbl 1473.94177

Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 23, 57-66 (2019).
MSC:  94D10 05B10
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### A survey on bent functions and their duals. (English)Zbl 1461.94110

Schmidt, Kai-Uwe (ed.) et al., Combinatorics and finite fields. Difference sets, polynomials, pseudorandomness and applications. Selected papers based on the presentations at the workshop on pseudo-randomness and finite fields, Linz, Austria, October 15–18, 2018. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 23, 39-56 (2019).
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### Strongly regular graphs arising from non-weakly regular bent functions. (English)Zbl 1446.11214

MSC:  11T71 05E30 11T22
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### Frobenius linear translators giving rise to new infinite classes of permutations and bent functions. (English)Zbl 1434.11225

MSC:  11T06 14G50 94D10
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### Several new classes of self-dual bent functions derived from involutions. (English)Zbl 1460.11147

MSC:  11T71 94D10 11T06
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### Multiple characters transforms and generalized Boolean functions. (English)Zbl 1434.94122

MSC:  94D10 06E30 11A07
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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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### The connection between quadratic bent-negabent functions and the Kerdock code. (English)Zbl 1457.94252

MSC:  94D10 94B99
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MSC:  94D10
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### Further study on the maximum number of bent components of vectorial functions. (English)Zbl 1421.94129

MSC:  94C10 06E30
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### Regular $$p$$-ary bent functions with five terms and Kloosterman sums. (English)Zbl 1419.94049

MSC:  94A60 11T23
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### On Boolean functions with several flat spectra. (English)Zbl 1419.94100

MSC:  94D05 94C10
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### Landscape Boolean functions. (English)Zbl 1419.94097

MSC:  94D10 06E30 11T71
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### Differential uniformity and the associated codes of cryptographic functions. (English)Zbl 1419.94033

MSC:  94A60 11T71
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