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TIT
2002
13 years 9 months ago
2002
Feedback with carry shift registers (FCSRs) are a class of finite state devices that are similar to linear feedback shift registers (LFSRs) in their simplicity and statistical ran...
DM
1999
13 years 9 months ago
1999
Let Fk(x) = n=0 Fk n xn . Using the interpretation of Fibonacci numbers in the terms of Morse codes, we give a bijective proof of Riordan's formula (1 - Lkx + (-1)k x2 )Fk(x...
STRINGOLOGY
2008
13 years 11 months ago
2008
The class of finite Sturmian words consists of words having particularly simple compressed representation, which is a generalization of the Fibonacci recurrence for Fibonacci word...
COMBINATORICS
2006
13 years 9 months ago
2006
We introduce a new statistic on linear and circular r-mino arrangements which leads to interesting polynomial generalizations of the r-Fibonacci and r-Lucas sequences. By studying...
SACRYPT
2009
Springer
14 years 4 months ago
2009
Springer
The Feedback with Carry Shift Registers (FCSRs) have been proposed as an alternative to Linear Feedback Shift Registers (LFSRs) for the design of stream ciphers. FCSRs have good st...