Báo cáo toán học: "Some Aspects of Hankel Matrices in Coding Theory and Combinatorics Ulrich Tamm" ppt

... studying combinatorial applications of Hankel matrices and further aspects of orthogonal polynomials was set up by Viennot [76]. Of special interest are determinants of Hankel matrices consisting ... method for solving key equation for decoding Goppa codes”, Information and Control 27, 1975, 87 – 99. [74] U. Tamm, Hankel matrices in coding theory and combinat...

Ngày tải lên: 07/08/2014, 06:22

... below). For information about publishing your research in Journal of Inequalities and Applications go to http://www.journalofinequalitiesandapplications.com/authors/instructions/ For information ... Abstract In this investigation, motivated from Breaz study, we introduce a new family of integral operator using famous convolution technique. We also apply this newly defined operator...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 15:21

... the cardinality of L.IfL ⊆ X ∗ , then L + denotes the set of all concatenations of w ords in L and L ∗ = L + ∪{}. In particular, if L = {w},thenwewritew, w + and w ∗ instead of {w}, {w} + and {w} ∗ , ... Masami Ito, and Kayoko Shikishima-Tsuji 3. Set of Primitive Words In this section, we deal with the set of all primitive words. First we provide the following three...

Ngày tải lên: 06/08/2014, 05:20

... ACS-property of ring R and that of the ring of all polynomials over ring R in indeterminant x. Lemma 3.1. Let R be any reduced ring and S = R[x] the ring of all polynomials over R in indeterminant x.IfS ... r R (a) ≤ e eR and that R is an ACS-ring.  3. (SKEW) Polynomial Rings of ACS-Rings As we know, polynomial rings over right p.p rings need not be right p.p rings. In...

Ngày tải lên: 06/08/2014, 05:20

... applications of these polynomials, deriving new bounds for the radius of a graph and the “weight k-excess” of a vertex. Generalizing these results, and grouping ideas of Van Dam [10] , and Garriga and ... local proper and adjacency polynomials, p u k and Q u k , are independent of the chosen vertex u and coincide with the corresponding average polynomials p k and Q k...

Ngày tải lên: 07/08/2014, 06:20

... coefficient counting the number of ways in which all A’s from the A t−1 B operand can be inserted in the leading block of A’s in the shuffled string. Similarly, those terms in P in which the trailing B comes ... T 2n,n which is indeed the right-hand side of (4), and the proof is finished. the electronic journal of combinatorics 5 (1998), #R38 9 Indeed, the first term in the...

Ngày tải lên: 07/08/2014, 06:22

... connecting graph theory and number theory. In some recent papers induced cycles in X n were investigated. Berrizbeitia and Giudici [2] studied the number p k (n) of induced k-cycles in X n . Fuchs and ... a given set of divisors of n. All eigenvalues of X n (D) also turn out to be integral. 2 Basic invariants First we determine the chromatic number and the clique numb...

Ngày tải lên: 07/08/2014, 15:22

... existence of α-Al 2 O 3 in the composite thick films and to examine the variations in crystallinity according to the changes in the mixing ratio. The crystallite size of the α-Al 2 O 3 in the ... broadening and decreased intensity in comparison with that of the Al 2 O 3 starting powder as shown in Figure 1a. This result can be explained by the presence of nanocry...

Ngày tải lên: 20/06/2014, 20:20

... original data stream in the frequency domain; and the other is to spread in the time domain. The key issue in designing an efficient system is to combine the benefits of both spreading in time and ... number of users supported is linearly proportional to the product of the S-domain, T-domain and the F-domain spre ading factors. Therefore, the MIMO OFDM-CDMA system using ST...

Ngày tải lên: 20/06/2014, 21:20