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SETA
2004
Springer
81views Mathematics» more  SETA 2004»
14 years 4 months ago
Univariate and Multivariate Merit Factors
Abstract. Merit factor of a binary sequence is reviewed, and constructions are described that appear to satisfy an asymptotic merit factor of 6.3421 . . . Multivariate merit factor...
Matthew G. Parker
SETA
2004
Springer
126views Mathematics» more  SETA 2004»
14 years 4 months ago
Algebraic Feedback Shift Registers Based on Function Fields
We study algebraic feedback shift registers (AFSRs) based on quotients of polynomial rings in several variables over a finite field. These registers are natural generalizations o...
Andrew Klapper
SETA
2004
Springer
79views Mathematics» more  SETA 2004»
14 years 4 months ago
A Survey of the Merit Factor Problem for Binary Sequences
A classical problem of digital sequence design, first studied in the 1950s but still not well understood, is to determine those binary sequences whose aperiodic autocorrelations ...
Jonathan Jedwab
SETA
2004
Springer
122views Mathematics» more  SETA 2004»
14 years 4 months ago
New LFSR-Based Cryptosystems and the Trace Discrete Log Problem (Trace-DLP)
In order to reduce key sizes and bandwidth, cryptographic systems have been proposed using minimal polynomials to represent finite field elements. These systems are essentially e...
Kenneth J. Giuliani, Guang Gong
SETA
2004
Springer
93views Mathematics» more  SETA 2004»
14 years 4 months ago
Spectral Orbits and Peak-to-Average Power Ratio of Boolean Functions with Respect to the {I, H, N}n Transform
We enumerate the inequivalent self-dual additive codes over GF(4) of blocklength n, thereby extending the sequence A090899 in The On-Line Encyclopedia of Integer Sequences from n =...
Lars Eirik Danielsen, Matthew G. Parker