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Author ID: helleseth.tor Recent zbMATH articles by "Helleseth, Tor"
Published as: Helleseth, Tor; Helleseth, T.; Helleseth, Thor
Homepage: http://www.ii.uib.no/~torh/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 277 Publications since 1976, including 1 Book
19 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 89 Reviews
Biographic References: 1 Publication
Co-Authors: 143 Co-Authors with 270 Joint Publications
3,654 Co-Co-Authors
all top 5

Co-Authors

27 single-authored
31 Kumar, P. Vijay
26 Hamada, Noboru
25 Kholosha, Alexander
25 Li, Chunlei
20 Li, Nian
18 Budaghyan, Lilya
18 Zeng, Xiangyong
17 Ding, Cunsheng
16 Yang, Kyeongcheol
15 Kløve, Torleiv
15 Tang, Xiaohu
15 Ytrehus, Øyvind
15 Zinov’ev, Viktor Aleksandrovich
13 Gong, Guang
10 Carlet, Claude
8 Charpin, Pascale
8 No, Jong-Seon
8 Zhou, Zhengchun
7 Martinsen, Halvard M.
7 Ness, Geir Jarle
7 Rønjom, Sondre
7 Shanbhag, Abhijit G.
6 Rong, Chunming
6 Xia, Yongbo
5 Hu, Honggang
5 Hu, Lei
5 Levenshtein, Vladimir Iosifovich
5 Song, Hong-Yeop
4 Dodunekov, Stefan Manev
4 Johansen, Aina
4 Lahtonen, Jyrki T.
4 Rosendahl, Petri
4 Shin, Dong-Joon
4 Solé, Patrick
4 Tu, Ziran
3 Alahmadi, Adel N.
3 Calderbank, Arthur Robert
3 Chen, Xuemin
3 Hijazi, Rola Asaad
3 Jedwab, Jonathan
3 Jiang, Wenfeng
3 Kim, Young Sik
3 Li, Chaoyun
3 Li, Kangquan
3 Molland, Håvard
3 Mykkeltveit, Johannes J.
3 Niederreiter, Harald
3 Parker, Matthew Geoffrey
3 Pott, Alexander
3 Qu, Longjiang
3 Reed, Irving S.
3 Schaathun, Hans Georg
3 Truong, Trieu-Kien
3 Wu, Gaofei
2 Alhazmi, Hussain
2 Boukliev, Iliya G.
2 Chung, Habong
2 Dobbertin, Hans
2 Fan, Cuiling
2 Golomb, Solomon Wolf
2 Hasan, M. Anwar
2 Jang, Ji-Woong
2 Jansen, Cees J. A.
2 Jia, Wenjie
2 Jungnickel, Dieter
2 Kaleyski, Nikolay S.
2 Kim, Sang-Hyo
2 Lam, Kwokyan
2 Mathiassen, John Erik
2 McGuire, Gary
2 Mesnager, Sihem
2 Muthana, Najat Mohammad
2 Qi, Yanfeng
2 Sandberg, Daniel
2 Shi, Minjia
2 Sun, Bo
2 Tang, Chunming
2 van Tilborg, Henk C. A.
2 Voloch, José Felipe
2 Wen, Jinming
2 Zhang, Dan
2 Zhang, Yuqing
1 Ahmadi, Omran
1 Alhazmi, Husain
1 Ali, Shakir
1 Anderson, Ross J.
1 Arasu, Krishnasamy Thiru
1 Ball, L. Simeon
1 Bardeh, Navid Ghaedi
1 Bassalygo, Leonid A.
1 Bernstein, Daniel Julius
1 Blache, Régis
1 Blake, Ian F.
1 Blokhuis, Aart
1 Cai, Han
1 Cao, Xiwang
1 Castro, Francis Noel
1 Chand Gupta, Kishan
1 Chang, Anchung
1 Chanson, Samuel T.
...and 119 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

230 Publications have been cited 2,316 times in 1,074 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
150
2013
Monomial and quadratic bent functions over the finite fields of odd characteristic. Zbl 1177.94149
Helleseth, Tor; Kholosha, Alexander
76
2006
Some results about the cross-correlation function between two maximal linear sequences. Zbl 0348.94017
Helleseth, Tor
61
1976
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
58
2016
Sequences with low correlation. Zbl 0924.94027
Helleseth, Tor; Kumar, P. Vijay
57
1998
Linear codes with two or three weights from weakly regular bent functions. Zbl 1359.94738
Tang, Chunming; Li, Nian; Qi, Yanfeng; Zhou, Zhengchun; Helleseth, Tor
56
2016
The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\). Zbl 0357.94007
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes
49
1977
Almost difference sets and their sequences with optimal autocorrelation. Zbl 1008.05027
Arasu, K. T.; Ding, Cunsheng; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard M.
49
2001
A generic construction of Cartesian authentication codes. Zbl 1310.94178
Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv; Wang, Xuesong
48
2007
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
47
1998
New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
38
2003
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
37
2013
New families of almost perfect nonlinear power mappings. Zbl 0960.11051
Helleseth, Tor; Rong, Chunming; Sandberg, Daniel
36
1999
Optimal ternary cyclic codes from monomials. Zbl 1364.94652
Ding, Cunsheng; Helleseth, Tor
34
2013
On the linear complexity of Legendre sequences. Zbl 0912.94014
Ding, Cunsheng; Helleseth, Tor; Shan, Weijuan
33
1998
Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri
32
2006
How to build robust shared control systems. Zbl 0919.94012
Anderson, Ross; Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv
31
1998
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
29
2017
The weight distributions of several classes of cyclic codes from APN monomials. Zbl 1360.94402
Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng
28
2014
A characterization of codes meeting the Griesmer bound. Zbl 0491.94021
Helleseth, Tor
26
1981
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
25
2018
Generalized Hamming weights of linear codes. Zbl 0749.94012
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
25
1992
Several classes of binary sequences with three-level autocorrelation. Zbl 0983.94026
Ding, Cunsheng; Helleseth, Tor; Lam, Kwok Yan
25
1999
An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.
25
1995
Some power mappings with low differential uniformity. Zbl 0886.11067
Helleseth, Tor; Sandberg, Daniel
25
1997
New families of binary sequences with optimal three-level autocorrelation. Zbl 1019.94009
Ding, Cunsheng; Helleseth, Tor; Martinsen, Halvard
23
2001
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
23
2019
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
22
2014
The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd. Zbl 1112.11055
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
21
2007
On the covering radius of binary codes. Zbl 0379.94017
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes
21
1978
Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic. Zbl 1315.05008
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
21
2015
On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums. Zbl 0951.11026
Helleseth, Tor; Zinoviev, Victor
21
1999
New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137
Budaghyan, Lilya; Helleseth, Tor
21
2008
New binomial bent functions over the finite fields of odd characteristic. Zbl 1366.94774
Helleseth, Tor; Kholosha, Alexander
20
2010
Generalized cyclotomic codes of length \(p_1^{e_1}\cdots p_t^{e_t}\). Zbl 0946.94026
Ding, Cunsheng; Helleseth, Tor
20
1999
Several new classes of bent functions from Dillon exponents. Zbl 1364.94802
Li, Nian; Helleseth, Tor; Tang, Xiaohu; Kholosha, Alexander
20
2013
On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072
Helleseth, Tor; Kholosha, Alexander
18
2008
A class of binomial bent functions over the finite fields of odd characteristic. Zbl 1364.94801
Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei
17
2012
\(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098
Helleseth, Tor; Kholosha, Alexander
16
2010
A characterization of some \(Q\)-ary codes \((q>(h-1)^ 2\), \(h\geq 3)\) meeting the Griesmer bound. Zbl 0786.05016
Hamada, Noboru; Helleseth, Tor
16
1993
Proofs of two conjectures on ternary weakly regular bent functions. Zbl 1367.94474
Helleseth, Tor; Hollmann, Henk D. L.; Kholosha, Alexander; Wang, Zeying; Xiang, Qing
15
2009
On the covering radius of cyclic linear codes and arithmetic codes. Zbl 0576.94020
Helleseth, Tor
15
1985
Large families of quaternary sequences with low correlation. Zbl 0943.94512
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger
15
1996
Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu
14
2014
New commutative semifields defined by new PN multinomials. Zbl 1291.12006
Budaghyan, Lilya; Helleseth, Tor
14
2011
On the Walsh transform of a class of functions from Niho exponents. Zbl 1364.94552
Li, Nian; Helleseth, Tor; Kholosha, Alexander; Tang, Xiaohu
14
2013
A new attack on the filter generator. Zbl 1316.94054
Rønjom, Sondre; Helleseth, Tor
14
2007
Ternary \(m\)-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type. Zbl 1039.94004
Dobbertin, Hans; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard
13
2001
Construction of de Bruijn sequences from LFSRs with reducible characteristic polynomials. Zbl 1359.94554
Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Li, Ming
13
2016
A new construction of zero-difference balanced functions and its applications. Zbl 1364.94747
Cai, Han; Zeng, Xiangyong; Helleseth, Tor; Tang, Xiaohu; Yang, Yang
13
2013
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
13
2012
A class of de Bruijn sequences. Zbl 1359.94553
Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
12
2014
Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
12
2007
Some classes of complete permutation polynomials over \(\mathbb F_q\). Zbl 1325.05013
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
11
2015
On the weight hierarchy of Kerdock codes over \(\mathbb{Z}_ 4\). Zbl 0859.94011
Yang, Kyeongcheol; Helleseth, Tor; Kumar, P. Vijay; Shanbhag, Abhijit G.
11
1996
Use of Gröbner bases to decode binary cyclic codes up to the true minimum distance. Zbl 0812.94019
Chen, Xuemin; Reed, I. S.; Helleseth, T.; Truong, T. K.
11
1994
The properties of a class of linear FSRs and their applications to the construction of nonlinear FSRs. Zbl 1360.94281
Li, Chaoyun; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei; Hu, Lei
11
2014
New pairs of \(m\)-sequences with 4-level cross-correlation. Zbl 1190.11011
Helleseth, Tor; Rosendahl, Petri
11
2005
Universal hash functions from exponential sums over finite fields and Galois rings. Zbl 1329.94062
Helleseth, Tor; Johansson, Thomas
10
1996
Bounds on the minimum support weights. Zbl 0842.94021
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.; Ytrehus, Øyvind
10
1995
New nonbinary sequences with ideal two-level autocorrelation. Zbl 1062.94033
Helleseth, Tor; Gong, Guang
10
2002
A new family of ternary almost perfect nonlinear mappings. Zbl 1323.94130
Ness, Geir Jarle; Helleseth, Tor
10
2007
Characterization of \(m\)-sequences of lengths \(2^{2k}-1\) and \(2^{k}-1\) with three-valued cross correlation. Zbl 1177.94123
Helleseth, Tor; Kholosha, Alexander; Ness, Geir Jarle
10
2007
A new family of ternary sequences with ideal two-level autocorrelation function. Zbl 1007.94013
Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard
9
2001
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
9
2009
Linear complexity over \(\mathbb{F}_p\) and trace representation of Lempel-Cohn-Eastman sequences. Zbl 1063.94066
Helleseth, Tor; Kim, Sang-Hyo; No, Jong-Seon
9
2003
On cyclotomic generator of order \(r\). Zbl 1078.94511
Ding, Cunsheng; Helleseth, Tor
9
1998
New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479
Li, Nian; Tang, Xiaohu; Helleseth, Tor
9
2014
Generic construction of bent functions and bent idempotents with any possible algebraic degrees. Zbl 1390.94954
Tang, Chunming; Zhou, Zhengchun; Qi, Yanfeng; Zhang, Xiaosong; Fan, Cuiling; Helleseth, Tor
9
2017
Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293
Johansen, Aina; Helleseth, Tor; Kholosha, Alexander
8
2009
A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284
Johansen, Aina; Helleseth, Tor
8
2009
Period-different \(m\)-sequences with at most four-valued cross correlation. Zbl 1367.94282
Helleseth, Tor; Hu, Lei; Kholosha, Alexander; Zeng, Xiangyong; Li, Nian; Jiang, Wenfeng
8
2009
De Bruijn sequences, irreducible codes and cyclotomy. Zbl 0878.94046
Hauge, Erik R.; Helleseth, Tor
8
1996
Linear complexity over \(\mathbb F_p\) of Sidel’nikov sequences. Zbl 1293.94050
Helleseth, Tor; Maas, M.; Mathiassen, John Erik; Segers, T.
8
2004
A characterization of some ternary codes meeting the Griesmer bound. Zbl 0815.94017
Hamada, Noboru; Helleseth, Tor
8
1994
New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718
Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
8
2018
Niho bent functions and Subiaco hyperovals. Zbl 1281.51006
Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
7
2012
On the lifted Zetterberg code. Zbl 1348.94090
Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick
7
2016
A characterization of some \(\{2v_{\alpha{}+1}+v_{\gamma{}+1},2v_ \alpha{}+v_ \gamma{};k-1,3\}\)-minihypers and some \((n,k,3^{k-1}- 2\cdot{}3^ \alpha{}-3^ \gamma{};3)\)-codes \((k\geq{}3,\;0 \leq{}\alpha{}< \gamma{}< k-1)\) meeting the Griesmer bound. Zbl 0753.94017
Hamada, Noboru; Helleseth, Tor
7
1992
A characterization of some minihypers in a finite projective geometry PG(t,4). Zbl 0728.51011
Hamada, Noboru; Helleseth, Tor
7
1990
The weight hierarchy of the Kasami codes. Zbl 0846.94019
Helleseth, Tor; Kumar, P. Vijay
7
1995
Upper bound for a hybrid sum over Galois rings with applications to aperiodic correlation of some \(q\)-ary sequences. Zbl 0855.94015
Shanbhag, Abhijit G.; Kumar, P. Vijay; Helleseth, Tor
7
1996
The algebraic decoding of the \(\mathbb{Z}_ 4\)-linear Goethals code. Zbl 0857.94021
Helleseth, Tor; Kumar, P. Vijay
7
1995
On binary sequences of period \(n=p^m -1\) with optimal autocorrelation. Zbl 1030.94027
Helleseth, Tor; Yang, Kyeongcheol
7
2002
Near-optimal partial Hadamard codebook construction using binary sequences obtained from quadratic residue mapping. Zbl 1360.94375
Hong, Seokbeom; Park, Hosung; No, Jong-Seon; Helleseth, Tor; Kim, Young-Sik
7
2014
A new class of nonbinary codes meeting the Griesmer bound. Zbl 0786.94016
Hamada, Noboru; Helleseth, Tor; Ytrehus, Øyvind
7
1993
New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\). Zbl 1380.05001
Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
6
2018
Fast discrete Fourier spectra attacks on stream ciphers. Zbl 1365.94379
Gong, Guang; Rønjom, Sondre; Helleseth, Tor; Hu, Honggang
6
2011
Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105
Helleseth, Tor; Kholosha, Alexander
6
2010
Planar functions and commutative semifields. Zbl 1274.94046
Budaghyan, Lilya; Helleseth, Tor
6
2010
Exponential sums over Galois rings and their applications. Zbl 0884.11053
Helleseth, T.; Kumar, P. V.; Shanbhag, A. G.
6
1996
On isotopisms of commutative presemifields and CCZ-equivalence of functions. Zbl 1245.94069
Budaghyan, Lilya; Helleseth, Tor
6
2011
Constructions of complete permutation polynomials. Zbl 1398.05012
Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
6
2018
Univariate Niho bent functions from o-polynomials. Zbl 1359.94930
Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor
6
2016
Error-correction capability of binary linear codes. Zbl 1293.94111
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.
6
2005
Cross correlation of \(m\)-sequences of different lengths. Zbl 1318.94059
Ness, Geir Jarle; Helleseth, Tor
6
2006
On the correlation distribution of the Coulter-Matthews decimation. Zbl 1177.94124
Ness, Geir Jarle; Helleseth, Tor; Kholosha, Alexander
6
2006
The number of cross-join pairs in maximum length linear sequences. Zbl 0742.94009
Helleseth, Tor; Kløve, Torleiv
5
1991
A characterization of some linear codes over GF(4) meeting the Griesmer bound. Zbl 0756.05035
Hamada, Noboru; Helleseth, Tor
5
1992
Further classifications of codes meeting the Griesmer bound. Zbl 0541.94017
Helleseth, Tor
5
1984
Cryptographically strong permutations from the butterfly structure. Zbl 1469.94254
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang
3
2021
Binary linear codes with few weights from two-to-one functions. Zbl 1475.94192
Li, Kangquan; Li, Chunlei; Helleseth, Tor; Qu, Longjiang
2
2021
A new family of APN quadrinomials. Zbl 1453.94170
Budaghyan, Lilya; Helleseth, Tor; Kaleyski, Nikolay
5
2020
On the distance between APN functions. Zbl 1448.94308
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kaleyski, Nikolay
4
2020
The differential spectrum of a ternary power mapping. Zbl 1475.11218
Xia, Yongbo; Zhang, Xianglai; Li, Chunlei; Helleseth, Tor
2
2020
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
23
2019
The linear complexity of generalized cyclotomic binary sequences of period \(p^n\). Zbl 1480.94023
Edemskiy, Vladimir; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
3
2019
Differential spectrum of Kasami power permutations over odd characteristic finite fields. Zbl 1432.94147
Yan, Haode; Zhou, Zhengchun; Weng, Jian; Wen, Jinming; Helleseth, Tor; Wang, Qi
3
2019
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
25
2018
New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718
Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
8
2018
New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\). Zbl 1380.05001
Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
6
2018
Constructions of complete permutation polynomials. Zbl 1398.05012
Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
6
2018
On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo
5
2018
The weight distribution of a class of two-weight linear codes derived from Kloosterman sums. Zbl 1412.94236
Tan, Pan; Zhou, Zhengchun; Tang, Deng; Helleseth, Tor
4
2018
A construction of multiple optimal ZCZ sequence sets with good cross correlation. Zbl 1390.94824
Zhou, Zhengchun; Zhang, Dan; Helleseth, Tor; Wen, Jinming
3
2018
A family of polyphase sequences with asymptotically optimal correlation. Zbl 1392.94913
Zhou, Zhengchun; Helleseth, Tor; Parampalli, Udaya
2
2018
A class of permutation quadrinomials. Zbl 1395.05005
Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
1
2018
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
29
2017
Generic construction of bent functions and bent idempotents with any possible algebraic degrees. Zbl 1390.94954
Tang, Chunming; Zhou, Zhengchun; Qi, Yanfeng; Zhang, Xiaosong; Fan, Cuiling; Helleseth, Tor
9
2017
Investigations on periodic sequences with maximum nonlinear complexity. Zbl 1390.94818
Sun, Zhimin; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
5
2017
Yoyo tricks with AES. Zbl 1420.94094
Rønjom, Sondre; Bardeh, Navid Ghaedi; Helleseth, Tor
4
2017
Some results on the known classes of quadratic APN functions. Zbl 1365.94409
Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo
3
2017
On the correlation distribution for a Niho decimation. Zbl 1390.94821
Xia, Yongbo; Li, Nian; Zeng, Xiangyong; Helleseth, Tor
2
2017
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
58
2016
Linear codes with two or three weights from weakly regular bent functions. Zbl 1359.94738
Tang, Chunming; Li, Nian; Qi, Yanfeng; Zhou, Zhengchun; Helleseth, Tor
56
2016
Construction of de Bruijn sequences from LFSRs with reducible characteristic polynomials. Zbl 1359.94554
Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Li, Ming
13
2016
On the lifted Zetterberg code. Zbl 1348.94090
Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick
7
2016
Univariate Niho bent functions from o-polynomials. Zbl 1359.94930
Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor
6
2016
An open problem on the distribution of a Niho-type cross-correlation function. Zbl 1359.94561
Xia, Yongbo; Li, Nian; Zeng, Xiangyong; Helleseth, Tor
4
2016
On the lifted Melas code. Zbl 1344.94088
Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick
1
2016
Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic. Zbl 1315.05008
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
21
2015
Some classes of complete permutation polynomials over \(\mathbb F_q\). Zbl 1325.05013
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
11
2015
On o-equivalence of Niho bent functions. Zbl 1400.94199
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander
4
2015
Some new classes of cyclic codes with three or six weights. Zbl 1331.94076
Xia, Yongbo; Helleseth, Tor; Li, Chunlei
2
2015
A class of quaternary sequences with low correlation. Zbl 1361.94035
Li, Nian; Tang, Xiaohu; Helleseth, Tor
1
2015
The weight distributions of several classes of cyclic codes from APN monomials. Zbl 1360.94402
Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng
28
2014
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
22
2014
Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu
14
2014
A class of de Bruijn sequences. Zbl 1359.94553
Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
12
2014
The properties of a class of linear FSRs and their applications to the construction of nonlinear FSRs. Zbl 1360.94281
Li, Chaoyun; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei; Hu, Lei
11
2014
New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479
Li, Nian; Tang, Xiaohu; Helleseth, Tor
9
2014
Near-optimal partial Hadamard codebook construction using binary sequences obtained from quadratic residue mapping. Zbl 1360.94375
Hong, Seokbeom; Park, Hosung; No, Jong-Seon; Helleseth, Tor; Kim, Young-Sik
7
2014
Some results on cross-correlation distribution between a \(p\)-ary \(m\)-sequence and its decimated sequences. Zbl 1360.94288
Xia, Yongbo; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
3
2014
New \(M\)-ary sequences with low autocorrelation from interleaved technique. Zbl 1321.94030
Li, Nian; Tang, Xiaohu; Helleseth, Tor
2
2014
Open problems on the cross-correlation of \(m\)-sequences. Zbl 1325.94108
Helleseth, Tor
1
2014
A note on cross-correlation distribution between a ternary \(m\)-sequence and its decimated sequence. Zbl 1355.94040
Xia, Yongbo; Helleseth, Tor; Wu, Gaofei
1
2014
The proof of Lin’s conjecture via the decimation-Hadamard transform. Zbl 1360.94278
Hu, Honggang; Shao, Shuai; Gong, Guang; Helleseth, Tor
1
2014
Handbook of finite fields. Zbl 1319.11001
150
2013
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
37
2013
Optimal ternary cyclic codes from monomials. Zbl 1364.94652
Ding, Cunsheng; Helleseth, Tor
34
2013
Several new classes of bent functions from Dillon exponents. Zbl 1364.94802
Li, Nian; Helleseth, Tor; Tang, Xiaohu; Kholosha, Alexander
20
2013
On the Walsh transform of a class of functions from Niho exponents. Zbl 1364.94552
Li, Nian; Helleseth, Tor; Kholosha, Alexander; Tang, Xiaohu
14
2013
A new construction of zero-difference balanced functions and its applications. Zbl 1364.94747
Cai, Han; Zeng, Xiangyong; Helleseth, Tor; Tang, Xiaohu; Yang, Yang
13
2013
Bent functions and their connections to combinatorics. Zbl 1315.11099
Helleseth, Tor; Kholosha, Alexander
4
2013
Permutation polynomials with low differential uniformity over finite fields of odd characteristic. Zbl 1334.94083
Jia, Wenjie; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor; Hu, Lei
2
2013
A class of binomial bent functions over the finite fields of odd characteristic. Zbl 1364.94801
Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei
17
2012
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
13
2012
Niho bent functions and Subiaco hyperovals. Zbl 1281.51006
Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
7
2012
On the dual of certain ternary weakly regular bent functions. Zbl 1365.94671
Gong, Guang; Helleseth, Tor; Hu, Honggang; Kholosha, Alexander
4
2012
A three-valued Walsh transform from decimations of Helleseth-Gong sequences. Zbl 1365.94378
Gong, Guang; Helleseth, Tor; Hu, Honggang
3
2012
New three-valued Walsh transforms from decimations of Helleseth-Gong sequences. Zbl 1268.94021
Gong, Guang; Helleseth, Tor; Hu, Honggang; Li, Chunlei
3
2012
New commutative semifields defined by new PN multinomials. Zbl 1291.12006
Budaghyan, Lilya; Helleseth, Tor
14
2011
Fast discrete Fourier spectra attacks on stream ciphers. Zbl 1365.94379
Gong, Guang; Rønjom, Sondre; Helleseth, Tor; Hu, Honggang
6
2011
On isotopisms of commutative presemifields and CCZ-equivalence of functions. Zbl 1245.94069
Budaghyan, Lilya; Helleseth, Tor
6
2011
Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110
Helleseth, Tor; Kholosha, Alexander
5
2011
Constant composition codes as subcodes of cyclic codes. Zbl 1365.94560
Luo, Jinquan; Helleseth, Tor
4
2011
Several classes of codes and sequences derived from a \(\mathbb Z_4\)-valued quadratic form. Zbl 1365.94522
Li, Nian; Tang, Xiaohu; Helleseth, Tor
2
2011
Generic construction of quaternary sequences of period \(2N\) with low correlation from quaternary sequences of odd period \(N\). Zbl 1366.94459
Tang, Xiaohu; Helleseth, Tor
1
2011
New binomial bent functions over the finite fields of odd characteristic. Zbl 1366.94774
Helleseth, Tor; Kholosha, Alexander
20
2010
\(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098
Helleseth, Tor; Kholosha, Alexander
16
2010
Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105
Helleseth, Tor; Kholosha, Alexander
6
2010
Planar functions and commutative semifields. Zbl 1274.94046
Budaghyan, Lilya; Helleseth, Tor
6
2010
Proofs of two conjectures on ternary weakly regular bent functions. Zbl 1367.94474
Helleseth, Tor; Hollmann, Henk D. L.; Kholosha, Alexander; Wang, Zeying; Xiang, Qing
15
2009
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
9
2009
Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293
Johansen, Aina; Helleseth, Tor; Kholosha, Alexander
8
2009
A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284
Johansen, Aina; Helleseth, Tor
8
2009
Period-different \(m\)-sequences with at most four-valued cross correlation. Zbl 1367.94282
Helleseth, Tor; Hu, Lei; Kholosha, Alexander; Zeng, Xiangyong; Li, Nian; Jiang, Wenfeng
8
2009
Two new families of optimal binary sequences obtained from quaternary sequences. Zbl 1367.94296
Tang, Xiaohu; Helleseth, Tor; Hu, Lei; Jiang, Wenfeng
4
2009
A new optimal quaternary sequence family of length \(2(2^{n}-1)\) obtained from the orthogonal transformation of families \({\mathcal{B}}\) and \({\mathcal{C}}\). Zbl 1183.94008
Tang, Xiaohu; Helleseth, Tor; Fan, Pingzhi
4
2009
New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137
Budaghyan, Lilya; Helleseth, Tor
21
2008
On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072
Helleseth, Tor; Kholosha, Alexander
18
2008
The correlation distribution of quaternary sequences of period \(2(2^{n-1)}\). Zbl 1328.94057
Johansen, Aina; Helleseth, Tor; Tang, Xiaohu
5
2008
On a family of perfect nonlinear binomials. Zbl 1198.94098
Helleseth, Tor; Kyureghyan, Gohar; Ness, Geir Jarle; Pott, Alexander
4
2008
On cosets of weight 4 of \(\text{BCH}(2^m,8)\), \(m\) even, and exponential sums. Zbl 1245.11123
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2
2008
\(m\)-sequences of lengths \(2^{2k}-1\) and \(2^k-1\) with at most four-valued cross correlation. Zbl 1206.94036
Helleseth, Tor; Kholosha, Alexander
2
2008
Cascade jump controlled sequence generator and Pomaranch stream cipher. Zbl 1177.94152
Jansen, Cees J. A.; Helleseth, Tor; Kholosha, Alexander
2
2008
On the correlation distribution of Kerdock sequences. Zbl 1206.94044
Tang, Xiaohu; Helleseth, Tor; Johansen, Aina
1
2008
A generic construction of Cartesian authentication codes. Zbl 1310.94178
Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv; Wang, Xuesong
48
2007
The divisibility modulo 24 of Kloosterman sums on \(\text{GF}(2^m)\), \(m\) odd. Zbl 1112.11055
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
21
2007
A new attack on the filter generator. Zbl 1316.94054
Rønjom, Sondre; Helleseth, Tor
14
2007
Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
12
2007
A new family of ternary almost perfect nonlinear mappings. Zbl 1323.94130
Ness, Geir Jarle; Helleseth, Tor
10
2007
Characterization of \(m\)-sequences of lengths \(2^{2k}-1\) and \(2^{k}-1\) with three-valued cross correlation. Zbl 1177.94123
Helleseth, Tor; Kholosha, Alexander; Ness, Geir Jarle
10
2007
On Niho type cross-correlation functions of \(m\)-sequences. Zbl 1152.11006
Helleseth, Tor; Lahtonen, Jyrki; Rosendahl, Petri
5
2007
On the dual of monomial quadratic \(p\)-ary bent functions. Zbl 1154.94395
Helleseth, Tor; Kholosha, Alexander
3
2007
A new family of four-valued cross correlation between \(m\)-sequences of different lengths. Zbl 1318.94060
Ness, Geir Jarle; Helleseth, Tor
3
2007
Attacking the filter generator over \(\mathrm{GF}(2^m)\). Zbl 1248.94091
Rønjom, Sondre; Helleseth, Tor
2
2007
A new family of Gold-like sequences. Zbl 1154.94363
Tang, Xiaohu; Helleseth, Tor; Hu, Lei; Jiang, Wenfeng
1
2007
On attacks on filtering generators using linear subspace structures. Zbl 1154.94360
Rønjom, Sondre; Gong, Guang; Helleseth, Tor
1
2007
Monomial and quadratic bent functions over the finite fields of odd characteristic. Zbl 1177.94149
Helleseth, Tor; Kholosha, Alexander
76
2006
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Cited by 1,023 Authors

64 Helleseth, Tor
53 Zeng, Xiangyong
47 Cao, Xiwang
36 Hu, Lei
32 Ding, Cunsheng
26 Li, Nian
22 Tang, Chunming
22 Yue, Qin
21 Hamada, Noboru
19 Meidl, Wilfried
19 Mesnager, Sihem
19 Solé, Patrick
19 Xu, Guangkui
18 Li, Chunlei
18 Zha, Zhengbang
18 Zhou, Zhengchun
17 Carlet, Claude
17 Hou, Xiang-Dong
17 Pott, Alexander
17 Xu, Shanding
16 Lin, Dongdai
16 Tang, Xiaohu
15 Zheng, Dabin
14 Edemskiĭ, Vladimir Anatol’evich
14 Li, Chengju
14 Özbudak, Ferruh
13 Chen, Zhixiong
13 Luo, Gaojun
13 Tu, Ziran
13 Yan, Tongjiang
12 Bartoli, Daniele
12 Qi, Yanfeng
12 Qu, Longjiang
12 Storme, Leo
12 Wang, Qiuyan
12 Zinov’ev, Viktor Aleksandrovich
11 Fan, Cuiling
11 Feng, Keqin
11 Feng, Tao
11 Stănică, Pantelimon
11 Yang, Shudi
10 Heng, Ziling
10 Winterhof, Arne
9 Budaghyan, Lilya
9 Du, Xiaoni
9 Gong, Guang
9 Jiang, Yupeng
9 Pasalic, Enes
9 Qi, Wenfeng
9 Tang, Deng
9 Yan, Haode
9 Yuan, Pingzhi
8 Çeşmelioğlu, Ayça
8 Fu, Fangwei
8 Göloğlu, Faruk
8 Ke, Pinhui
8 Li, Fei
8 Ling, San
8 Liu, Hongwei
8 Vega, Gerardo
8 Wang, Xiaoqiang
8 Xiang, Qing
8 Xiao, Guozhen
7 Kaleyski, Nikolay S.
7 Katz, Daniel J.
7 Li, Kangquan
7 Peng, Jie
7 Tan, Yin
7 Wang, Qiang (Steven)
7 Wu, Chenhuang
7 Xia, Yongbo
7 Yu, Long
6 Bierbrauer, Jürgen
6 Charpin, Pascale
6 Cohen, Gérard Denis
6 Kan, Haibin
6 Langevin, Philippe
6 Liu, Zihui
6 Luo, Yuan
6 Peng, Daiyuan
6 Villarreal, Rafael Heraclio
6 Yang, Yang
6 Yao, Zhengan
6 Zheng, Lijing
5 Anbar, Nurdagül
5 Borges-Quintana, Mijail
5 Borges Trenard, Miguel Ángel
5 Chen, Wende
5 Feng, Rongquan
5 Kamlovskiĭ, Oleg Vital’evich
5 Kløve, Torleiv
5 Kyureghyan, Gohar M.
5 Li, Chao
5 Martínez-Moro, Edgar
5 McGuire, Gary
5 Michel, Jerod
5 Pei, Dingyi
5 Riera, Constanza
5 Sala, Massimiliano
5 Schmidt, Kai-Uwe
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Cited in 119 Serials

196 Designs, Codes and Cryptography
180 Finite Fields and their Applications
129 Cryptography and Communications
77 Discrete Mathematics
52 Applicable Algebra in Engineering, Communication and Computing
45 Advances in Mathematics of Communications
34 Discrete Applied Mathematics
18 Journal of Combinatorial Theory. Series A
16 International Journal of Foundations of Computer Science
15 Journal of Statistical Planning and Inference
14 Information Sciences
14 Journal of Algebraic Combinatorics
11 Journal of Systems Science and Complexity
11 Science China. Mathematics
10 Information Processing Letters
10 Problems of Information Transmission
10 Journal of Number Theory
9 European Journal of Combinatorics
7 Journal of Complexity
7 Journal of Applied Mathematics and Computing
6 Journal of Algebra and its Applications
6 Matematicheskie Voprosy Kriptografii
5 Journal of Symbolic Computation
5 SIAM Journal on Discrete Mathematics
5 Journal of Combinatorial Designs
4 Theoretical Computer Science
4 Applied Mathematics Letters
4 Discrete Mathematics and Applications
4 The Electronic Journal of Combinatorics
4 Complexity
4 Science China. Information Sciences
3 Communications in Algebra
3 Mathematics of Computation
3 Journal of Geometry
3 Graphs and Combinatorics
3 Information and Computation
3 Science in China. Series A
3 International Journal of Computer Mathematics
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Journal of Mathematics
3 Journal of Algebra, Combinatorics, Discrete Structures and Applications
2 Bulletin of the Australian Mathematical Society
2 Journal of Mathematical Physics
2 Acta Arithmetica
2 Journal of Algebra
2 Journal of Pure and Applied Algebra
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Journal of Cryptology
2 Forum Mathematicum
2 Linear Algebra and its Applications
2 Applied Mathematics. Series B (English Edition)
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Acta Mathematica Sinica. English Series
2 Advances in Geometry
2 International Journal of Wavelets, Multiresolution and Information Processing
2 Frontiers of Mathematics in China
2 Journal of Mathematical Cryptology
2 Prikladnaya Diskretnaya Matematika
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 ACM Transactions on Mathematical Software
1 Automatica
1 Glasgow Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
1 Mathematica Slovaca
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Ricerche di Matematica
1 Advances in Applied Mathematics
1 Systems & Control Letters
1 Bulletin of the Korean Mathematical Society
1 Note di Matematica
1 Statistics & Probability Letters
1 SIAM Journal on Algebraic and Discrete Methods
1 Chinese Annals of Mathematics. Series B
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Computer Science and Technology
1 Publicacions Matemàtiques
1 Aequationes Mathematicae
1 Journal of Knot Theory and its Ramifications
1 The Journal of Analysis
1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti
1 Applied and Computational Harmonic Analysis
1 Fractals
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 The Ramanujan Journal
1 Vietnam Journal of Mathematics
1 Soft Computing
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1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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