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ORCIDThomas W. Cusick
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- affiliation: University at Buffalo, Department of Mathematics, Buffalo, NY, USA
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Journal Articles
- 2024
[j59]Alexandru Chirvasitu, Thomas W. Cusick
:
Quadratic rotation symmetric Boolean functions. Discret. Appl. Math. 343: 91-105 (2024)- [j58]Zeenath A. U., K. V. Lakshmy, Thomas W. Cusick, M. Sethumadhavan:
Construction and enumeration of balanced rotation symmetric Boolean functions. Discret. Appl. Math. 357: 197-208 (2024) - [j57]Thomas W. Cusick:
Using easy coefficients conjecture for rotation symmetric Boolean functions. Inf. Sci. 659: 120075 (2024) - 2023
- [j56]Thomas W. Cusick, Younhwan Cheon:
The weight recursions for the 2-rotation symmetric quartic Boolean functions. Adv. Math. Commun. 17(3): 589-604 (2023) - 2022
- [j55]Alexandru Chirvasitu, Thomas W. Cusick:
Symbolic dynamics and rotation symmetric Boolean functions. Cryptogr. Commun. 14(5): 1091-1115 (2022) - 2021
- [j54]Thomas W. Cusick:
Simpler proof for nonlinearity of majority function. Discret. Appl. Math. 297: 55-59 (2021) - [j53]Thomas W. Cusick, Younhwan Cheon:
Weights for short quartic Boolean functions. Inf. Sci. 547: 18-27 (2021) - 2020
- [j52]Alexandru Chirvasitu, Thomas W. Cusick:
Affine equivalence for quadratic rotation symmetric Boolean functions. Des. Codes Cryptogr. 88(7): 1301-1329 (2020) - [j51]Thomas W. Cusick, Younhwan Cheon, Kelly Dougan:
Equivalence of 2-rotation symmetric quartic Boolean functions. Inf. Sci. 508: 358-379 (2020) - 2018
- [j50]Elizabeth M. Reid, Thomas W. Cusick:
Affine equivalence classes of 2-rotation symmetric cubic Boolean functions. Int. J. Comput. Math. Comput. Syst. Theory 3(3): 145-159 (2018) - [j49]Thomas W. Cusick:
Weight Recursions for Any Rotation Symmetric Boolean Functions. IEEE Trans. Inf. Theory 64(4): 2962-2968 (2018) - 2017
- [j48]Thomas W. Cusick:
Highly nonlinear plateaued functions. IET Inf. Secur. 11(2): 78-81 (2017) - [j47]Geoffrey M. Jacquez, Aleksander Essex, Andrew Curtis, Betsy Kohler, Recinda Sherman, Khaled El Emam, Chen Shi, Andy Kaufmann, Linda Beale, Thomas W. Cusick, Daniel W. Goldberg, Pierre Goovaerts:
Geospatial cryptography: enabling researchers to access private, spatially referenced, human subjects data for cancer control and prevention. J. Geogr. Syst. 19(3): 197-220 (2017) - 2016
- [j46]Thomas W. Cusick, Pantelimon Stanica:
Counting equivalence classes for monomial rotation symmetric Boolean functions with prime dimension. Cryptogr. Commun. 8(1): 67-81 (2016) - [j45]Thomas W. Cusick:
Hamming weights of symmetric Boolean functions. Discret. Appl. Math. 215: 14-19 (2016) - [j44]Thomas W. Cusick, K. V. Lakshmy, Madathil Sethumadhavan:
Affine equivalence of monomial rotation symmetric Boolean functions: A Pólya's theorem approach. J. Math. Cryptol. 10(3-4): 145-156 (2016) - 2015
- [j43]Thomas W. Cusick, Bryan Johns:
Recursion orders for weights of Boolean cubic rotation symmetric functions. Discret. Appl. Math. 186: 1-6 (2015) - [j42]Thomas W. Cusick, Bryan Johns:
Theory of 2-rotation symmetric cubic Boolean functions. Des. Codes Cryptogr. 76(1): 113-133 (2015) - [j41]Thomas W. Cusick:
Permutation equivalence of cubic rotation symmetric Boolean functions. Int. J. Comput. Math. 92(8): 1568-1573 (2015) - [j40]Thomas W. Cusick, Younhwan Cheon:
Theory of 3-rotation symmetric cubic Boolean functions. J. Math. Cryptol. 9(1): 45-62 (2015) - 2014
- [j39]K. V. Lakshmy, Madathil Sethumadhavan, Thomas W. Cusick:
Counting rotation symmetric functions using Polya's theorem. Discret. Appl. Math. 169: 162-167 (2014) - [j38]Thomas W. Cusick, Younhwan Cheon:
Affine equivalence for cubic rotation symmetric Boolean functions with n=pq variables. Discret. Math. 327: 51-61 (2014) - [j37]Guangpu Gao, Thomas W. Cusick, Wenfen Liu:
Families of rotation symmetric functions with useful cryptographic properties. IET Inf. Secur. 8(6): 297-302 (2014) - [j36]Thomas W. Cusick, Younhwan Cheon:
Affine equivalence of quartic homogeneous rotation symmetric Boolean functions. Inf. Sci. 259: 192-211 (2014) - 2013
- [j35]Thomas W. Cusick:
Finding Hamming weights without looking at truth tables. Cryptogr. Commun. 5(1): 7-18 (2013) - [j34]Alyssa Brown, Thomas W. Cusick:
Equivalence classes for cubic rotation symmetric functions. Cryptogr. Commun. 5(2): 85-118 (2013) - 2012
- [j33]Maxwell L. Bileschi, Thomas W. Cusick, Daniel Padgett:
Weights of Boolean cubic monomial rotation symmetric functions. Cryptogr. Commun. 4(2): 105-130 (2012) - [j32]Thomas W. Cusick, Daniel Padgett:
A recursive formula for weights of Boolean rotation symmetric functions. Discret. Appl. Math. 160(4-5): 391-397 (2012) - [j31]Thomas W. Cusick, Younhwan Cheon:
Affine equivalence for rotation symmetric Boolean functions with 2 k variables. Des. Codes Cryptogr. 63(2): 273-294 (2012) - [j30]Thomas W. Cusick, Alyssa Brown:
Affine equivalence for rotation symmetric Boolean functions with pk variables. Finite Fields Their Appl. 18(3): 547-562 (2012) - [j29]Alyssa Brown, Thomas W. Cusick:
Recursive weights for some Boolean functions. J. Math. Cryptol. 6(2): 105-135 (2012) - 2011
- [j28]Thomas W. Cusick, Yuan Li, Pantelimon Stanica:
On a Combinatorial Conjecture. Integers 11: A17 (2011) - [j27]Thomas W. Cusick:
Affine equivalence of cubic homogeneous rotation symmetric functions. Inf. Sci. 181(22): 5067-5083 (2011) - [j26]Thomas W. Cusick, Lavinia Corina Ciungu:
Sum of digits sequences modulo m. Theor. Comput. Sci. 412(35): 4738-4741 (2011) - 2010
- [j25]Thomas W. Cusick, Yuri L. Borissov:
A refinement of Cusick-Cheon bound for the second order binary Reed-Muller code. Discret. Math. 310(24): 3537-3543 (2010) - 2009
- [j24]Thomas W. Cusick, Yuan Li, Pantelimon Stanica:
On a conjecture for balanced symmetric Boolean functions. J. Math. Cryptol. 3(4): 273-290 (2009) - 2008
- [j23]Thomas W. Cusick, Yuan Li, Pantelimon Stanica:
Balanced Symmetric Functions Over GF(p). IEEE Trans. Inf. Theory 54(3): 1304-1307 (2008) - 2007
- [j22]Thomas W. Cusick, Harold Fredricksen, Pantelimon Stanica:
On the delta sequence of the Thue-Morse sequence. Australas. J Comb. 39: 293-300 (2007) - [j21]Thomas W. Cusick, Younhwan Cheon:
Counting Balanced Boolean Functions in n Variables with Bounded Degree. Exp. Math. 16(1): 101-105 (2007) - [j20]Yuan Li, Thomas W. Cusick:
Strict avalanche criterion over finite fields. J. Math. Cryptol. 1(1): 65-78 (2007) - 2006
- [j19]Yuan Li, Thomas W. Cusick:
Linear structures of symmetric functions over finite fields. Inf. Process. Lett. 97(3): 124-127 (2006) - 2005
- [j18]Thomas W. Cusick, Yuan Li:
k-th order symmetric SAC boolean functions and bisecting binomial coefficients. Discret. Appl. Math. 149(1-3): 73-86 (2005) - [j17]Thomas W. Cusick:
Polynomials over base 2 finite fields with evenly distributed values. Finite Fields Their Appl. 11(2): 278-291 (2005) - 2002
- [j16]Thomas W. Cusick, Pantelimon Stanica:
Fast evaluation, weights and nonlinearity of rotation-symmetric functions. Discret. Math. 258(1-3): 289-301 (2002) - 2001
- [j15]Thomas W. Cusick:
Computer Licence Plates. Comput. Secur. 20(5): 392-394 (2001) - [j14]Thomas W. Cusick, Guang Gong:
A conjecture on binary sequences with the "Trinomial property". IEEE Trans. Inf. Theory 47(1): 426-427 (2001) - 2000
- [j13]Thomas W. Cusick:
[untitled]. Am. Math. Mon. 107(4): 384-386 (2000) - 1999
- [j12]Jin-yi Cai, Thomas W. Cusick:
A Lattice-Based Public-Key Cryptosystem. Inf. Comput. 151(1-2): 17-31 (1999) - [j11]Thomas W. Cusick:
The Ajtai Random Class of Lattices. Theor. Comput. Sci. 226(1-2): 29-36 (1999) - 1998
- [j10]Thomas W. Cusick:
Finite Vector Spaces and Certain Lattices. Electron. J. Comb. 5 (1998) - [j9]Thomas W. Cusick:
Value Sets of Some Polynomials Over Finite Fields GF(22m). SIAM J. Comput. 27(1): 120-131 (1998) - 1997
- [j8]Thomas W. Cusick, Pantelimon Stanica:
Counting the n-Chromos of I. J. Schoenberg. J. Comb. Theory A 79(2): 298-314 (1997) - 1996
- [j7]Thomas W. Cusick:
Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion. Inf. Process. Lett. 57(5): 261-263 (1996) - [j6]Thomas W. Cusick, Pantelimon Stanica:
Bounds on the Number of Functions Satisfying the Strict Avalanche Criterion. Inf. Process. Lett. 60(4): 215-219 (1996) - [j5]Thomas W. Cusick, Hans Dobbertin:
Some new three-valued crosscorrelation functions for binary m-sequences. IEEE Trans. Inf. Theory 42(4): 1238-1240 (1996) - 1995
- [j4]Thomas W. Cusick:
Cryptanalysis of a Public Key System Based on Diophantine Equations. Inf. Process. Lett. 56(2): 73-75 (1995) - [j3]Thomas W. Cusick:
Properties of the x2 mod N pseudorandom number generator. IEEE Trans. Inf. Theory 41(4): 1155-1159 (1995) - 1989
- [j2]Thomas W. Cusick:
Recurrences for sums of powers of binomial coefficients. J. Comb. Theory A 52(1): 77-83 (1989) - 1974
- [j1]Thomas W. Cusick:
View-Obstruction Problems in n-Dimensional Geometry. J. Comb. Theory A 16(1): 1-11 (1974)
Conference and Workshop Papers
- 2015
- [c6]Sumanta Sarkar, Thomas W. Cusick:
Initial results on the rotation symmetric bent-negabent functions. IWSDA 2015: 80-84 - 1998
- [c5]Jin-yi Cai, Thomas W. Cusick:
A Lattice-Based Public-Key Cryptosystem. Selected Areas in Cryptography 1998: 219-233 - [c4]Thomas W. Cusick:
On Constructing Balanced Correlation Immune Functions. SETA 1998: 184-190 - 1996
- [c3]Thomas W. Cusick:
A Comparison of RSA and the Naccache-Stern Public-Key Cryptosystem. Security Protocols Workshop 1996: 111-116 - 1993
- [c2]Thomas W. Cusick:
Boolean Functions Satisfying a Higher Order Strict Avalanche Criterion. EUROCRYPT 1993: 102-117 - 1990
- [c1]Thomas W. Cusick, Michael C. Wood:
The REDOC II Cryptosystem. CRYPTO 1990: 545-563
Informal and Other Publications
- 2023
- [i9]Alexandru Chirvasitu, Thomas W. Cusick:
Quadratic rotation symmetric Boolean functions. CoRR abs/2304.12734 (2023) - 2019
- [i8]Alexandru Chirvasitu, Thomas W. Cusick:
Affine equivalence for quadratic rotation symmetric Boolean functions. CoRR abs/1908.08448 (2019) - [i7]Alexandru Chirvasitu, Thomas W. Cusick:
Symbolic dynamics and rotation symmetric Boolean functions. CoRR abs/1910.01908 (2019) - 2017
- [i6]Thomas W. Cusick:
Weight recursions for any rotation symmetric Boolean functions. CoRR abs/1701.06648 (2017) - [i5]Thomas W. Cusick, E. M. Sanger:
Rotation Symmetric Bent Boolean Functions for n = 2p. CoRR abs/1708.09313 (2017) - [i4]Thomas W. Cusick:
Weight = nonlinearity for all small weight Boolean functions. CoRR abs/1710.02034 (2017) - 2010
- [i3]Thomas W. Cusick:
Affine equivalence of cubic homogeneous rotation symmetric Boolean functions. CoRR abs/1007.1938 (2010) - 2009
- [i2]Thomas W. Cusick, Yuan Li, Pantelimon Stanica:
On a Combinatorial Conjecture. IACR Cryptol. ePrint Arch. 2009: 554 (2009) - 2005
- [i1]Yuan Li, Thomas W. Cusick:
Strict Avalanche Criterion Over Finite Fields. IACR Cryptol. ePrint Arch. 2005: 361 (2005)
Coauthor Index
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