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- Tor Helleseth
- Discrete Mathematics
- 1976

Abstract Let { a 1 } and { a d1 } be two maximal linear sequences of period p n − 1. The cross-correlation function is defined by C d ( t ) = for t = 0, t … p n − 2, where ζ = exp(2π 1 p ) . We find… (More)

- 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 is… (More)

In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope11···pett, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy in… (More)

- K. T. Arasu, Cunsheng Ding, Tor Helleseth, P. Vijay Kumar, Halvard Martinsen
- IEEE Trans. Information Theory
- 2001

Almost difference sets have interesting applications in cryptography and coding theory. We give a well-rounded treatment of known families of almost difference sets, establish relations between some… (More)

- Tor Helleseth, Guang Gong
- IEEE Trans. Information Theory
- 2002

We find new families of nonbinary sequences of period p/sup n/-1 with symbols from a finite field F/sub p/ for any prime p/spl ges/3. The sequences have two-level ideal autocorrelation and are… (More)

- Cunsheng Ding, Tor Helleseth, Kwok-Yan Lam
- IEEE Trans. Information Theory
- 1999

In this correspondence we describe several classes of binary sequences with three-level autocorrelation. Those classes of binary sequences are based on cyclic almost difference sets. Some classes of… (More)

- Kyeongcheol Yang, Tor Helleseth
- IEEE Trans. Information Theory
- 2003

For a prime q and an integer j/spl les/q, the code C(q,j) is a class of low-density parity-check (LDPC) codes from array codes which has a nice algebraic structure. In this correspondence, we… (More)

- Cunsheng Ding, Tor Helleseth, Halvard Martinsen
- IEEE Trans. Information Theory
- 2001

In this correspondence we give several new families of binary sequences of period N with optimal three-level autocorrelation, where N/spl equiv/2 (mod 4). These sequences are either balanced or… (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, where… (More)

- Tor Helleseth, Victor Zinoviev
- Des. Codes Cryptogr.
- 1999

Studying the coset weight distributions of the Z4-linear Goethals codes, e connect these codes with the Kloosterman sums. From one side, e obtain for some cases, of the cosets of weight four, the… (More)