Codes, Bent Functions and Permutations Suitable For DES-likeCryptosystems
Designs, Codes and Cryptography
AAECC-8 Proceedings of the 8th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Large families of quaternary sequences with low correlation
IEEE Transactions on Information Theory
Improved estimates via exponential sums for the minimum distance of Z4-linear trace codes
IEEE Transactions on Information Theory
Peak-to-mean power control in OFDM, Golay complementary sequences, and Reed-Muller codes
IEEE Transactions on Information Theory
Generalized Reed-Muller codes and power control in OFDM modulation
IEEE Transactions on Information Theory
Dentist 2: 00On codes with low peak-to-average power ratio for multicode CDMA
IEEE Transactions on Information Theory
On cosets of the generalized first-order reed-muller code with low PMEPR
IEEE Transactions on Information Theory
Low-Correlation, High-Nonlinearity Sequences for Multiple-Code CDMA
IEEE Transactions on Information Theory
Complementary Sets, Generalized Reed–Muller Codes, and Power Control for OFDM
IEEE Transactions on Information Theory
UMTS/IMT-2000 based on wideband CDMA
IEEE Communications Magazine
On Boolean functions which are bent and negabent
SSC'07 Proceedings of the 2007 international conference on Sequences, subsequences, and consequences
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A constant-amplitude code is a code that reduces the peak-to-average power ratio (PAPR) in multicode code-division multiple access (MC-CDMA) systems to the favorable value 1. In this paper, quaternary constant-amplitude codes (codes over Z4) of length 2m with error-correction capabilities are studied. These codes exist for every positive integer m, while binary constant-amplitude codes cannot exist if m is odd. Every word of such a code corresponds to a function from the binary m-tuples to Z4 having the bent property, i.e., its Fourier transform has magnitudes 2m/2. Several constructions of such functions are presented, which are exploited in connection with algebraic codes over Z4 (in particular quaternary Reed-Muller, Kerdock, and Delsarte-Goethals codes) to construct families of quaternary constant-amplitude codes. Mappings from binary to quaternary constant-amplitude codes are presented as well.