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- 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 d=3/sup k/+1/2 with k odd and gcd(k,m)=1 is determined. The method to find this distribution is related to the result by Coulter and Matthews that f(x)=x/sup d/… (More)

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

A mapping f(x) from GF(p<sup>n</sup>) to GF(p<sup>n</sup>) is differentially k-uniform if k is the maximum number of solutions x isin GF(p<sup>n</sup>) of f(x+a) - f(x) = b, where a, b isin GF(p<sup>n</sup>) and a ne 0. A 2-uniform mapping is called almost perfect nonlinear (APN). This correspondence describes new families of ternary APN mappings over… (More)

- Geir Jarle Ness, Tor Helleseth
- IEEE Trans. Information Theory
- 2007

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

We consider the distribution of the cross correlation between m-sequences of period 2/sup m/-1, where m=2k and m-sequences of shorter period 2/sup k/-1. We present some general properties of the cross correlation between these m-sequences and we find some decimations with 3-valued cross correlation. We further present some numerical results and open… (More)

I thank all the people who took part in this study, Brian Tom from the Centre for Applied Medical Statistics at Cambridge University for statistical advice, and Peter Brambleby and Malcolm Adams for their constructive comments. NS is the sole author and acts as guarantor of the study. Funding: NS was supported by a health services research fellowship from… (More)

- Geir Jarle Ness, Tor Helleseth
- IEEE Trans. Information Theory
- 2006

- Hilary Mercer, P C Roper, J F O'Duffy, Geir Jarle Ness
- Journal of paediatrics and child health
- 1994

The survival of low birthweight infants < or = 2000 g born in the central Queensland area during the years 1979 to 1991 was examined. Five hundred and sixty such infants were either delivered at one of the two Rockhampton obstetric units (Rockhampton Base Hospital and the Mater Misericordiae Hospital) or retrieved from outlying central Queensland areas.… (More)

- Tor Helleseth, Alexander Kholosha, Geir Jarle Ness
- IEEE Trans. Information Theory
- 2007

Considered is the distribution of the crosscorrelation between m-sequences of length 2−1, where m = 2k, and m-sequences of shorter length 2 − 1. New pairs of m-sequences with three-valued crosscorrelation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued… (More)

- Geir Jarle Ness
- 2007

Considered is the distribution of the crosscorrelation between m-sequences of length 2−1, where m = 2k, and m-sequences of shorter length 2 − 1. New pairs of m-sequences with three-valued crosscorrelation are found and the complete correlation distribution is determined. Finally, we conjecture that there are no more cases with a three-valued… (More)

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