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- Tor Helleseth, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2006

Considered are p-ary bent functions having the form f(x)=Tr/sub n/(/spl sigma//sub i=0//sup s/a/sub i/x/sup di/). A new class of ternary monomial regular bent function with the Dillon exponent isâ€¦ (More)

- Geir Jarle Ness, Tor Helleseth, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2006

The distribution of the cross correlation between the ternary m-sequence {s/sub t/} of period n=3/sup m/-1 and the decimated sequences {s/sub dt/} and {s/sub dt+1/} of period (3/sup m/-1)/2, whereâ€¦ (More)

- Gregor Leander, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2006

In this note, a new primary construction of bent functions consisting of a linear combination of 2r Niho exponents is presented. This construction generalizes one of the constructions proven by H.â€¦ (More)

- Nian Li, Tor Helleseth, Xiaohu Tang, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2013

Several new classes of binary and p-ary regular bent functions are obtained in this paper. The bentness of all these functions is determined by some exponential sums over finite fields, most of whichâ€¦ (More)

- Tor Helleseth, Alexander Kholosha
- Cryptography and Communications
- 2009

In this paper, the polynomials $P_a(x)=x^{2^l+1}+x+a$ with aâ€‰âˆˆâ€‰GF(2 k ) are studied. New criteria for the number of zeros of P a (x) in GF(2 k ) are proved. We also study the affine polynomialâ€¦ (More)

- Tor Helleseth, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2010

The <i>p</i>-ary function <i>f</i>(<i>x</i>) mapping <i>GF(p</i><sup>4</sup><i>k</i>) to <i>GF(p</i>) and given byâ€¦ (More)

- Aina Johansen, Tor Helleseth, Alexander Kholosha
- IEEE Transactions on Information Theory
- 2009

Recently, the complete five-valued cross-correlation distribution has been determined between two <i>m</i>-sequences <i>{st</i>} and <i>{sdt</i>} of periods <i>2</i> <sup>m</sup>-1 that differ by theâ€¦ (More)

Jumping LFSRs have recently been proposed [SASC04] as building blocks for stream ciphers. In this paper a construction based on these principles is described. The proposed encryption primitive is theâ€¦ (More)

- Tor Helleseth, Alexander Kholosha, Geir Jarle Ness
- IEEE Transactions on Information Theory
- 2007

Considered is the distribution of the cross correlation between in-sequences of length 22k -1, where m = 2k, and m-sequences of shorter length 2k -1. New pairs of m -sequences with three-valued crossâ€¦ (More)

- Cees J. A. Jansen, Tor Helleseth, Alexander Kholosha
- The eSTREAM Finalists
- 2008

Jump registers were recently proposed [SASC04] as building blocks for stream ciphers. In this paper a construction based on these principles is described. The proposed encryption primitive is aâ€¦ (More)