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
Quaternary constant-amplitude codes for multicode CDMA
IEEE Transactions on Information Theory
Galois rings and pseudo-random sequences
Cryptography and Coding'07 Proceedings of the 11th IMA international conference on Cryptography and coding
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Families of binary low-correlation sequences with high nonlinearity (in relation with their Walsh Hadamard transform) are constructed by using the most significant bit of linear recurrence sequences over the ring Zopf2 l, for lges3. The engineering motivation is the design of a multiple-code code-division multiple-access (CDMA) scheme with a control of low peak-to-average power ratio (PAPR). Proof techniques combine Galois ring theory (local Weil bound) with spectral analysis over the additive group of Zopf2 l. New estimates on the size of weighted degree trace codes are derived. The parameters of the sequences families constructed are shown to lie above a modified Varshamov-Gilbert bound