Spread spectrum communications; vols. 1-3
Spread spectrum communications; vols. 1-3
Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
Improved binary codes and sequence families from Z4-linear codes
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
An upper bound for Weil exponential sums over Galois rings and applications
IEEE Transactions on Information Theory
On the odd and the aperiodic correlation properties of the Kasami sequences
IEEE Transactions on Information Theory
Quaternary Codes and Biphase Sequences from \mathbb{Z}_8-Codes
Problems of Information Transmission
The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Galois rings and pseudo-random sequences
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
Distribution of r-patterns in the most significant bit of a maximum length sequence over Z2l
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
Weighted degree trace codes for PAPR reduction
SETA'04 Proceedings of the Third international conference on Sequences and Their Applications
An invariant for quadratic forms valued in Galois Rings of characteristic 4
Finite Fields and Their Applications
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The Z8-analogues of the Kerdock codes of length n = 2m were introduced by Carlet in 1998. We study the binary sequences of period n - 1 obtained from their cyclic version by using the most significant bit (MSB)-map. The relevant Boolean functions are of degree 4 in general. The linear span of these sequences has been known to be of the order of m4. We will show that the crosscorrelation and nontrivial autocorrelation of this family are both upper bounded by a small multiple of √n. The nonlinearity of these sequences has a similar lower bound. A generalization of the above results to the alphabet Z2l, l≥4 is sketched out.