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Max-plus analysis on some binary particle systems
Max-plus analysis binary particle systems
2010/12/28
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors.
Real-Time Sorting of Binary Numbers on One-Dimensional CA
Real-Time Sorting of Binary Numbers One-Dimensional CA
2010/12/28
Abstract. A new fast (real time) sorter of binary numbers by one-dimensional cellular automata is proposed. It sorts a list of n numbers represented by k-bits each in exactly nk steps. This is only on...
In this paper, it is shown that if F(x , y) is an irreducible binary form with integral coefficients and degree $n \geq 3$, then provided that the absolute value of the discriminant of F is large enou...
Power multiples in binary recurrence sequences: an approach by congruences
Power multiples binary recurrence sequences approach by congruences
2010/12/13
We introduce an elementary congruence-based procedure to look for q-th power multiples in arbitrary binary recurrence sequences (q 3). The procedure allows to prove that no such multiples exist in m...
The system of weight equations for a binary (n, m)-code with respect to its ordered basis is introduced. It connects certain quantities (characteristics) related to the basis with the weights of non-z...
Weight Equations for Binary Linear Codes and Their Applications
Weight Equations Binary Linear Codes
2010/3/5
Some combinatorial problems concerning binary vector spaces are solved by applying the techniques developed in [1]. These illustrate that they are effective tools for such purposes.