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COMBINATORICA
2008
123views more  COMBINATORICA 2008»
13 years 10 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
CORR
2007
Springer
99views Education» more  CORR 2007»
13 years 11 months ago
Periodic complementary sets of binary sequences
Let PCSN p denote a set of p binary sequences of length N such that the sum of their periodic auto-correlation functions is a δ-function. In the 1990, B¨omer and Antweiler addres...
Dragomir Z. Djokovic
JCSS
2008
80views more  JCSS 2008»
13 years 11 months ago
Improved bounds on sorting by length-weighted reversals
We study the problem of sorting binary sequences and permutations by length-weighted reversals. We consider a wide class of cost functions, namely f( ) = for all 0, where is the...
Michael A. Bender, Dongdong Ge, Simai He, Haodong ...
CORR
2010
Springer
89views Education» more  CORR 2010»
13 years 11 months ago
Coding objects related to Catalan numbers
A coding method using binary sequences is presented for different computation problems related to Catalan numbers. This method proves in a very easy way the equivalence of these pr...
Antal Bege, Zoltán Kása
DCC
2007
IEEE
13 years 11 months ago
Practical Binary Adaptive Block Coder
This paper describes design of a low-complexity algorithm for adaptive encoding/decoding of binary sequences produced by memoryless sources. The algorithm implements universal blo...
Yuriy A. Reznik
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
DCC
2004
IEEE
14 years 11 months ago
Periodicity and Correlation Properties of d-FCSR Sequences
A d-feedback-with-carry shift register (d-FCSR) is a finite state machine, similar to a linear feedback shift register, in which a small amount of memory and a delay (by d-clock c...
Mark Goresky, Andrew Klapper