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Helleseth, Tor

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Author ID: helleseth.tor Recent zbMATH articles by "Helleseth, Tor"
Published as: Helleseth, T.; Helleseth, Thor; Helleseth, Tor
Homepage: http://www.ii.uib.no/~torh/
External Links: MGP · ResearchGate · dblp
Documents Indexed: 288 Publications since 1976, including 11 Books
Reviewing Activity: 89 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

27 single-authored
31 Kumar, P. Vijay
26 Hamada, Noboru
24 Kholosha, Alexander
21 Li, Chunlei
20 Li, Nian
18 Zeng, Xiangyong
17 Ding, Cunsheng
16 Budaghyan, Lilya
16 Yang, Kyeongcheol
15 Kløve, Torleiv
15 Tang, Xiaohu
15 Ytrehus, Øyvind
15 Zinov’ev, Viktor Aleksandrovich
12 Gong, Guang
8 Carlet, Claude
8 No, Jong-Seon
8 Zhou, Zhengchun
7 Charpin, Pascale
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 I.
5 Song, Hong-Yeop
4 Dodunekov, Stefan Manev
4 Johansen, Aina
4 Lahtonen, Jyrki T.
4 Rosendahl, Petri
4 Shin, Dong-Joon
4 Tu, Ziran
3 Alahmadi, Adel N.
3 Calderbank, Arthur Robert
3 Chen, Xuemin
3 Hijazi, Rola Asaad
3 Jiang, Wenfeng
3 Kim, Young Sik
3 Li, Chaoyun
3 Molland, Håvard
3 Mykkeltveit, Johannes J.
3 Parker, Matthew Geoffrey
3 Reed, Irving S.
3 Schaathun, Hans Georg
3 Solé, Patrick
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 Jang, Ji-Woong
2 Jansen, Cees J. A.
2 Jedwab, Jonathan
2 Jia, Wenjie
2 Kaleyski, Nikolay S.
2 Kim, Sang-Hyo
2 Lam, Kwokyan
2 Mathiassen, John Erik
2 Mesnager, Sihem
2 Muthana, Najat Mohammad
2 Niederreiter, Harald
2 Pott, Alexander
2 Qi, Yanfeng
2 Sandberg, Daniel
2 Sun, Bo
2 Tang, Chunming
2 van Tilborg, Henk C. A.
2 Wen, Jinming
2 Zhang, Dan
2 Zhang, Yuqing
1 Alhazmi, Husain
1 Ali, Shakir
1 Anderson, Ross J.
1 Arasu, Krishnasamy Thiru
1 Bardeh, Navid Ghaedi
1 Bassalygo, Leonid A.
1 Cai, Han
1 Chang, Anchung
1 Chanson, Samuel T.
1 Davidova, Diana S.
1 Duursma, Iwan Maynard
1 Edemskiĭ, Vladimir Anatol’evich
1 Fan, Pingzhi
1 Felke, Patrick
1 Gaal, Peter
1 Hammons, A. Roger jun.
1 Hasan, M. Anwar
1 Hauge, Erik R.
1 Hollmann, Henk D. L.
1 Hong, Seokbeom
1 Hove, Bo
1 Ihringer, Ferdinand
1 Johansson, Thomas
1 Jungnickel, Dieter
1 Khazaei, Shahram
...and 41 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

223 Publications have been cited 1,984 times in 969 Documents Cited by Year
Monomial and quadratic bent functions over the finite fields of odd characteristic. Zbl 1177.94149
Helleseth, Tor; Kholosha, Alexander
70
2006
Some results about the cross-correlation function between two maximal linear sequences. Zbl 0348.94017
Helleseth, Tor
56
1976
Sequences with low correlation. Zbl 0924.94027
Helleseth, Tor; Kumar, P. Vijay
54
1998
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
52
1977
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
48
2016
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.
47
2001
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
44
2016
A generic construction of Cartesian authentication codes. Zbl 1310.94178
Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv; Wang, Xuesong
43
2007
New generalized cyclotomy and its applications. Zbl 0908.11058
Ding, Cunsheng; Helleseth, Tor
42
1998
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
34
2013
New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\). Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
33
2003
On the linear complexity of Legendre sequences. Zbl 0912.94014
Ding, Cunsheng; Helleseth, Tor; Shan, Weijuan
33
1998
New families of almost perfect nonlinear power mappings. Zbl 0960.11051
Helleseth, Tor; Rong, Chunming; Sandberg, Daniel
31
1999
Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri
29
2006
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
27
2017
Optimal ternary cyclic codes from monomials. Zbl 1364.94652
Ding, Cunsheng; Helleseth, Tor
27
2013
How to build robust shared control systems. Zbl 0919.94012
Anderson, Ross; Ding, Cunsheng; Helleseth, Tor; Kløve, Torleiv
27
1998
A characterization of codes meeting the Griesmer bound. Zbl 0491.94021
Helleseth, Tor
26
1981
The weight distributions of several classes of cyclic codes from APN monomials. Zbl 1360.94402
Li, Chunlei; Li, Nian; Helleseth, Tor; Ding, Cunsheng
25
2014
Several classes of binary sequences with three-level autocorrelation. Zbl 0983.94026
Ding, Cunsheng; Helleseth, Tor; Lam, Kwok Yan
24
1999
An upper bound for Weil exponential sums over Galois rings and applications. Zbl 0853.11098
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.
24
1995
Generalized Hamming weights of linear codes. Zbl 0749.94012
Helleseth, Tor; Kløve, Torleiv; Ytrehus, Øyvind
24
1992
On \(\mathbb{Z}_4\)-linear Goethals codes and Kloosterman sums. Zbl 0951.11026
Helleseth, Tor; Zinoviev, Victor
22
1999
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
21
2019
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
21
2018
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
New families of binary sequences with optimal three-level autocorrelation. Zbl 1019.94009
Ding, Cunsheng; Helleseth, Tor; Martinsen, Halvard
21
2001
On the covering radius of binary codes. Zbl 0379.94017
Helleseth, Tor; Kløve, Torleiv; Mykkeltveit, Johannes
21
1978
Some classes of monomial complete permutation polynomials over finite fields of characteristic two. Zbl 1314.11073
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
20
2014
Several new classes of bent functions from Dillon exponents. Zbl 1364.94802
Li, Nian; Helleseth, Tor; Tang, Xiaohu; Kholosha, Alexander
20
2013
New perfect nonlinear multinomials over \(\mathbb F_{p^{2k}}\) for any odd prime \(p\). Zbl 1177.94137
Budaghyan, Lilya; Helleseth, Tor
20
2008
Generalized cyclotomic codes of length \(p_1^{e_1}\cdots p_t^{e_t}\). Zbl 0946.94026
Ding, Cunsheng; Helleseth, Tor
19
1999
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
18
2015
New binomial bent functions over the finite fields of odd characteristic. Zbl 1366.94774
Helleseth, Tor; Kholosha, Alexander
18
2010
Some power mappings with low differential uniformity. Zbl 0886.11067
Helleseth, Tor; Sandberg, Daniel
18
1997
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
A class of binomial bent functions over the finite fields of odd characteristic. Zbl 1364.94801
Jia, Wenjie; Zeng, Xiangyong; Helleseth, Tor; Li, Chunlei
15
2012
Large families of quaternary sequences with low correlation. Zbl 0943.94512
Kumar, P. Vijay; Helleseth, Tor; Calderbank, A. R.; Hammons, A. Roger
15
1996
\(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098
Helleseth, Tor; Kholosha, Alexander
14
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
14
2009
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 Walsh transform of a class of functions from Niho exponents. Zbl 1364.94552
Li, Nian; Helleseth, Tor; Kholosha, Alexander; Tang, Xiaohu
13
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
On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072
Helleseth, Tor; Kholosha, Alexander
13
2008
A new attack on the filter generator. Zbl 1316.94054
Rønjom, Sondre; Helleseth, Tor
13
2007
On the covering radius of cyclic linear codes and arithmetic codes. Zbl 0576.94020
Helleseth, Tor
13
1985
A class of de Bruijn sequences. Zbl 1359.94553
Li, Chaoyun; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
12
2014
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
12
2012
New commutative semifields defined by new PN multinomials. Zbl 1291.12006
Budaghyan, Lilya; Helleseth, Tor
12
2011
Some classes of complete permutation polynomials over \(\mathbb F_q\). Zbl 1325.05013
Wu, Gaofei; Li, Nian; Helleseth, Tor; Zhang, Yuqing
11
2015
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
11
2001
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
10
2014
Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
10
2007
New pairs of \(m\)-sequences with 4-level cross-correlation. Zbl 1190.11011
Helleseth, Tor; Rosendahl, Petri
10
2005
New nonbinary sequences with ideal two-level autocorrelation. Zbl 1062.94033
Helleseth, Tor; Gong, Guang
10
2002
Bounds on the minimum support weights. Zbl 0842.94021
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.; Ytrehus, Øyvind
10
1995
Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu
9
2014
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
9
2009
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
9
2007
A new family of ternary almost perfect nonlinear mappings. Zbl 1323.94130
Ness, Geir Jarle; Helleseth, Tor
9
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
On cyclotomic generator of order \(r\). Zbl 1078.94511
Ding, Cunsheng; Helleseth, Tor
9
1998
Universal hash functions from exponential sums over finite fields and Galois rings. Zbl 1329.94062
Helleseth, Tor; Johansson, Thomas
9
1996
New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479
Li, Nian; Tang, Xiaohu; Helleseth, Tor
8
2014
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
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
8
2003
De Bruijn sequences, irreducible codes and cyclotomy. Zbl 0878.94046
Hauge, Erik R.; Helleseth, Tor
8
1996
A characterization of some ternary codes meeting the Griesmer bound. Zbl 0815.94017
Hamada, Noboru; Helleseth, Tor
8
1994
On the construction of \([q^ 4+q^ 2-q, 5, q^ 4-q^ 3+q^ 2-2q; q]\)-codes meeting the Griesmer bound. Zbl 0756.94007
Hamada, Noboru; Helleseth, Tor; Ytrehus, Øyvind
8
1992
On the lifted Zetterberg code. Zbl 1348.94090
Alahmadi, Adel; Alhazmi, Hussain; Helleseth, Tor; Hijazi, Rola; Muthana, Najat; Solé, Patrick
7
2016
Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293
Johansen, Aina; Helleseth, Tor; Kholosha, Alexander
7
2009
A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284
Johansen, Aina; Helleseth, Tor
7
2009
On the correlation distribution of the Coulter-Matthews decimation. Zbl 1177.94124
Ness, Geir Jarle; Helleseth, Tor; Kholosha, Alexander
7
2006
Linear complexity over \(\mathbb F_p\) of Sidel’nikov sequences. Zbl 1293.94050
Helleseth, Tor; Maas, M.; Mathiassen, John Erik; Segers, T.
7
2004
On binary sequences of period \(n=p^m -1\) with optimal autocorrelation. Zbl 1030.94027
Helleseth, Tor; Yang, Kyeongcheol
7
2002
The algebraic decoding of the \(\mathbb{Z}_ 4\)-linear Goethals code. Zbl 0857.94021
Helleseth, Tor; Kumar, P. Vijay
7
1995
The weight hierarchy of the Kasami codes. Zbl 0846.94019
Helleseth, Tor; Kumar, P. Vijay
7
1995
The nonexistence of \([\)51,5,33;3\(]\)-codes. Zbl 0771.94011
Hamada, Noboru; Helleseth, Tor; Ytrehus, Øyvind
7
1993
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
Constructions of complete permutation polynomials. Zbl 1398.05012
Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
6
2018
New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718
Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
6
2018
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
6
2014
Niho bent functions and Subiaco hyperovals. Zbl 1281.51006
Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
6
2012
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
Planar functions and commutative semifields. Zbl 1274.94046
Budaghyan, Lilya; Helleseth, Tor
6
2010
Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105
Helleseth, Tor; Kholosha, Alexander
6
2010
Cross correlation of \(m\)-sequences of different lengths. Zbl 1318.94059
Ness, Geir Jarle; Helleseth, Tor
6
2006
Exponential sums over Galois rings and their applications. Zbl 0884.11053
Helleseth, T.; Kumar, P. V.; Shanbhag, A. G.
6
1996
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
6
1996
A characterization of some \(\{v_ 2+2v_ 3,v_ 1+2v_ 2;k-1,3\}\)-minihypers and some \((v_ k-30,k,3^{k-1}-21;3)\)-codes meeting the Griesmer bound. Zbl 0847.05029
Hamada, Noboru; Helleseth, Tor
6
1993
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
5
2017
Univariate Niho bent functions from o-polynomials. Zbl 1359.94930
Budaghyan, Lilya; Kholosha, Alexander; Carlet, Claude; Helleseth, Tor
5
2016
Crosscorrelation of \(m\)-sequences, exponential sums, bent functions and Jacobsthal sums. Zbl 1235.11110
Helleseth, Tor; Kholosha, Alexander
5
2011
The correlation distribution of quaternary sequences of period \(2(2^{n-1)}\). Zbl 1328.94057
Johansen, Aina; Helleseth, Tor; Tang, Xiaohu
5
2008
The Grey-Rankin bound for nonbinary codes. Zbl 1237.94148
Bassalygo, L. A.; Dodunekov, S. M.; Zinoviev, V. A.; Helleseth, T.
5
2006
Error-correction capability of binary linear codes. Zbl 1293.94111
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.
5
2005
New permutation trinomials from Niho exponents over finite fields with even characteristic. Zbl 1402.05005
Li, Nian; Helleseth, Tor
21
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
1
2019
The linear complexity of generalized cyclotomic binary sequences of period \(p^n\). Zbl 07056605
Edemskiy, Vladimir; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
1
2019
A class of new permutation trinomials. Zbl 1380.05002
Tu, Ziran; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
21
2018
Constructions of complete permutation polynomials. Zbl 1398.05012
Xu, Xiaofang; Li, Chunlei; Zeng, Xiangyong; Helleseth, Tor
6
2018
New generalized cyclotomic binary sequences of period \(p^2\). Zbl 1391.94718
Xiao, Zibi; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
6
2018
New permutation quadrinomials over \(\mathbb{F}_{2^{2m}}\). Zbl 1380.05001
Tu, Ziran; Zeng, Xiangyong; Helleseth, Tor
4
2018
On upper bounds for algebraic degrees of APN functions. Zbl 1395.94391
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Li, Nian; Sun, Bo
3
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
3
2018
A construction of multiple optimal ZCZ sequence sets with good cross correlation. Zbl 1390.94824
Zhou, Zhengchun; Zhang, Dan; Helleseth, Tor; Wen, Jinming
2
2018
A family of polyphase sequences with asymptotically optimal correlation. Zbl 1392.94913
Zhou, Zhengchun; Helleseth, Tor; Parampalli, Udaya
1
2018
Several classes of permutation trinomials from Niho exponents. Zbl 1369.11089
Li, Nian; Helleseth, Tor
27
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
5
2017
Yoyo tricks with AES. Zbl 1420.94094
Rønjom, Sondre; Bardeh, Navid Ghaedi; Helleseth, Tor
3
2017
On the correlation distribution for a Niho decimation. Zbl 1390.94821
Xia, Yongbo; Li, Nian; Zeng, Xiangyong; Helleseth, Tor
2
2017
Investigations on periodic sequences with maximum nonlinear complexity. Zbl 1390.94818
Sun, Zhimin; Zeng, Xiangyong; Li, Chunlei; Helleseth, Tor
2
2017
Some results on the known classes of quadratic APN functions. Zbl 1365.94409
Budaghyan, Lilya; Helleseth, Tor; Li, Nian; Sun, Bo
1
2017
Linear codes with two or three weights from quadratic bent functions. Zbl 1405.94116
Zhou, Zhengchun; Li, Nian; Fan, Cuiling; Helleseth, Tor
48
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
44
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
5
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
18
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
25
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
20
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
10
2014
Optimal ternary cyclic codes with minimum distance four and five. Zbl 1354.94067
Li, Nian; Li, Chunlei; Helleseth, Tor; Ding, Cunsheng; Tang, Xiaohu
9
2014
New constructions of quadratic bent functions in polynomial form. Zbl 1360.94479
Li, Nian; Tang, Xiaohu; Helleseth, Tor
8
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
6
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
The proof of Lin’s conjecture via the decimation-Hadamard transform. Zbl 1360.94278
Hu, Honggang; Shao, Shuai; Gong, Guang; 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
Further results on a class of permutation polynomials over finite fields. Zbl 1285.05004
Li, Nian; Helleseth, Tor; Tang, Xiaohu
34
2013
Optimal ternary cyclic codes from monomials. Zbl 1364.94652
Ding, Cunsheng; Helleseth, Tor
27
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
13
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
3
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
15
2012
Further results on Niho bent functions. Zbl 1364.94797
Budaghyan, Lilya; Carlet, Claude; Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
12
2012
Niho bent functions and Subiaco hyperovals. Zbl 1281.51006
Helleseth, Tor; Kholosha, Alexander; Mesnager, Sihem
6
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
12
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
18
2010
\(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\)). Zbl 1192.94098
Helleseth, Tor; Kholosha, Alexander
14
2010
Planar functions and commutative semifields. Zbl 1274.94046
Budaghyan, Lilya; Helleseth, Tor
6
2010
Sequences, bent functions and Jacobsthal sums. Zbl 1257.11105
Helleseth, Tor; Kholosha, Alexander
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
14
2009
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
9
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
Further results on \(m\)-sequences with five-valued cross correlation. Zbl 1367.94293
Johansen, Aina; Helleseth, Tor; Kholosha, Alexander
7
2009
A family of \(m\)-sequences with five-valued cross correlation. Zbl 1367.94284
Johansen, Aina; Helleseth, Tor
7
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
20
2008
On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\). Zbl 1130.11072
Helleseth, Tor; Kholosha, Alexander
13
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
3
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
43
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
13
2007
Propagation characteristics of \(x\mapsto x^{-1}\) and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
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
9
2007
A new family of ternary almost perfect nonlinear mappings. Zbl 1323.94130
Ness, Geir Jarle; Helleseth, Tor
9
2007
On Niho type cross-correlation functions of \(m\)-sequences. Zbl 1152.11006
Helleseth, Tor; Lahtonen, Jyrki; Rosendahl, Petri
4
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
On the dual of monomial quadratic \(p\)-ary bent functions. Zbl 1154.94395
Helleseth, Tor; Kholosha, Alexander
3
2007
Attacking the filter generator over \(\mathrm{GF}(2^m)\). Zbl 1248.94091
Rønjom, Sondre; Helleseth, Tor
2
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
70
2006
Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri
29
2006
On the correlation distribution of the Coulter-Matthews decimation. Zbl 1177.94124
Ness, Geir Jarle; Helleseth, Tor; Kholosha, Alexander
7
2006
Cross correlation of \(m\)-sequences of different lengths. Zbl 1318.94059
Ness, Geir Jarle; Helleseth, Tor
6
2006
The Grey-Rankin bound for nonbinary codes. Zbl 1237.94148
Bassalygo, L. A.; Dodunekov, S. M.; Zinoviev, V. A.; Helleseth, T.
5
2006
Linear properties in T-functions. Zbl 1323.94129
Molland, Håvard; Helleseth, Tor
4
2006
The coset distribution of triple-error-correcting binary primitive BCH codes. Zbl 1184.94274
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor A.
4
2006
A new three-valued cross correlation between m-sequences of different lengths. Zbl 1323.94095
Ness, Geir Jarle; Helleseth, Tor
3
2006
New pairs of \(m\)-sequences with 4-level cross-correlation. Zbl 1190.11011
Helleseth, Tor; Rosendahl, Petri
10
2005
Error-correction capability of binary linear codes. Zbl 1293.94111
Helleseth, Tor; Kløve, Torleiv; Levenshtein, Vladimir I.
5
2005
...and 123 more Documents
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Cited by 995 Authors

65 Helleseth, Tor
45 Zeng, Xiangyong
42 Cao, Xiwang
34 Hu, Lei
33 Ding, Cunsheng
22 Tang, Chunming
21 Hamada, Noboru
21 Yue, Qin
19 Li, Nian
19 Solé, Patrick
17 Li, Chunlei
17 Xu, Guangkui
17 Xu, Shanding
17 Zhou, Zhengchun
16 Carlet, Claude
16 Hou, Xiang-Dong
16 Meidl, Wilfried
16 Mesnager, Sihem
16 Tang, Xiaohu
16 Zha, Zhengbang
15 Lin, Dongdai
14 Pott, Alexander
13 Li, Chengju
13 Özbudak, Ferruh
13 Tu, Ziran
13 Yan, Tongjiang
12 Chen, Zhixiong
12 Qi, Yanfeng
12 Storme, Leo
12 Wang, Qiuyan
12 Zheng, Dabin
11 Edemskiĭ, Vladimir Anatol’evich
11 Fan, Cuiling
11 Feng, Keqin
11 Feng, Tao
11 Qu, Longjiang
11 Zinov’ev, Viktor Aleksandrovich
10 Bartoli, Daniele
10 Luo, Gaojun
10 Yang, Shudi
9 Du, Xiaoni
9 Gong, Guang
9 Qi, Wenfeng
8 Fu, Fangwei
8 Heng, Ziling
8 Jiang, Yupeng
8 Ke, Pinhui
8 Liu, Hongwei
8 Tan, Yin
8 Vega, Gerardo
8 Winterhof, Arne
8 Xiang, Qing
8 Xiao, Guozhen
8 Yuan, Pingzhi
7 Budaghyan, Lilya
7 Katz, Daniel J.
7 Kløve, Torleiv
7 Ling, San
7 Tang, Deng
7 Wang, Qiang (Steven)
7 Xia, Yongbo
7 Yan, Haode
7 Yu, Long
6 Bierbrauer, Jürgen
6 Çeşmelioğlu, Ayça
6 Charpin, Pascale
6 Cohen, Gérard Denis
6 Langevin, Philippe
6 Li, Fei
6 Li, Kangquan
6 Liu, Zihui
6 Luo, Yuan
6 Peng, Daiyuan
6 Villarreal, Rafael Heraclio
6 Wang, Xiaoqiang
6 Wu, Chenhuang
6 Zhou, Yue
5 Chen, Wende
5 Feng, Rongquan
5 Li, Chao
5 McGuire, Gary
5 Michel, Jerod
5 Pasalic, Enes
5 Pei, Dingyi
5 Peng, Jie
5 Sala, Massimiliano
5 Schmidt, Kai-Uwe
5 Stănică, Pantelimon
5 Tang, Yuansheng
5 Tian, Tian
5 Yao, Zhengan
5 Zheng, Yanbin
5 Zhu, Shixin
4 Bae, Sunghan
4 Bassalygo, Leonid A.
4 Borges-Quintana, Mijail
4 Borges Trenard, Miguel Ángel
4 Canteaut, Anne
4 Deza, Michel Marie
4 Farrán, José Ignacio
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Cited in 109 Serials

178 Designs, Codes and Cryptography
167 Finite Fields and their Applications
97 Cryptography and Communications
76 Discrete Mathematics
50 Applicable Algebra in Engineering, Communication and Computing
39 Advances in Mathematics of Communications
33 Discrete Applied Mathematics
19 Journal of Combinatorial Theory. Series A
16 International Journal of Foundations of Computer Science
15 Journal of Statistical Planning and Inference
14 Information Sciences
12 Journal of Algebraic Combinatorics
11 Information Processing Letters
11 Journal of Systems Science and Complexity
11 Science China. Mathematics
10 Problems of Information Transmission
9 European Journal of Combinatorics
8 Journal of Number Theory
7 Journal of Complexity
7 Journal of Applied Mathematics and Computing
5 Journal of Symbolic Computation
5 SIAM Journal on Discrete Mathematics
5 Journal of Combinatorial Designs
5 Journal of Algebra and its Applications
5 Science China. Information Sciences
4 Theoretical Computer Science
4 Applied Mathematics Letters
4 Discrete Mathematics and Applications
4 Complexity
3 Mathematics of Computation
3 Graphs and Combinatorics
3 Information and Computation
3 Science in China. Series A
3 International Journal of Computer Mathematics
3 The Electronic Journal of Combinatorics
3 Wuhan University Journal of Natural Sciences (WUJNS)
3 Journal of Algebra, Combinatorics, Discrete Structures and Applications
2 Bulletin of the Australian Mathematical Society
2 Communications in Algebra
2 Journal of Mathematical Physics
2 Acta Arithmetica
2 Journal of Geometry
2 Journal of Pure and Applied Algebra
2 Mathematische Zeitschrift
2 Transactions of the American Mathematical Society
2 Journal of Cryptology
2 Forum Mathematicum
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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
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1 ACM Transactions on Mathematical Software
1 Automatica
1 Glasgow Mathematical Journal
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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
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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 Aequationes Mathematicae
1 Journal of Knot Theory and its Ramifications
1 The Journal of Analysis
1 Applied and Computational Harmonic Analysis
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Vietnam Journal of Mathematics
1 Soft Computing
1 Journal of Shanghai University
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Intelligent and Fuzzy Systems
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Sarajevo Journal of Mathematics
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