Báo cáo toán học: "Codes, Lattices, and Steiner Systems" potx

... systems on fifteen elements, Mem. Nat. Acad. Sc. USA 14, second memoir (1919) 1-89. Codes, Lattices, and Steiner Systems Patrick Sol´e ∗ , CNRS, I3S, ESSI, BP 145, Route des Colles, 06 903 Sophia ... explicit determination of root systems and lattices involved. 5 Acknowledgements We thank Ed Assmus, Michel Deza, and Vladimir Tonchev for sending us their preprints and Chris Charnes,...

Ngày tải lên: 07/08/2014, 06:20

Ngày tải lên: 05/08/2014, 10:20

... transposing theentries 0and1 atindices 1and2 of(µ + α)[ ] or by transposing the entries −2 and −3 at indices 3 and 4. The result can be written as (4, 3, 3, 2, 2)[ ] respectively as (4, 2, 4, 1, 3)[ ], and indeed ... Corollary. For λ, µ ∈Pand α ∈C, the Kostka number K λ/µ,α equals the number # SST(λ/µ, α) of semistandard tableaux of shape λ/µ and weight α ,and K  λ/µ,α is the number...

Ngày tải lên: 07/08/2014, 08:22

... Examples 5.1 and 5.2).  6 Counting Trees and Forests Let us now extend Propositions 5.2 and 5.3 from paths to trees and forests. In Sec- tion 6.1 we consider classes T m (X) of trees and F m (X, ... maxmaxflow and put it in the context of some other well-known g r aph invariants (notably maximum degree and its relatives and degeneracy number). In Section 3 we analyze cocycle b...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 05/08/2014, 15:20

... 620-622. [22] Landgev, I. N. Linear codes over finite fields and finite projective geometries. To appear in Discrete Math Codes and Projective Multisets Stefan Dodunekov Institute of Mathematics and Informatics Bulgarian ... of Technical Mathematics and Informatics, Delft University of Technology. He would like to thank Dr. Juriaan Simonis and Dr. Jan van Zanten for their support and...

Ngày tải lên: 07/08/2014, 06:22

... positions i and j correspond to the intersection of two planes, and so on. Hence, two code words w 1 and w 2 correspond- ing to the affine points P and Q will have t common entries if and only if ... Bruen. Coprimitive sets and inextendable codes. Des. Codes Cryptogr., 47(1-3):113–124, 2008. [3] T.L. Alderson, A. A. Bruen, and R. Silverman. Maximum distance separable codes and a...

Ngày tải lên: 07/08/2014, 15:23

... a 3 ∧ a 4 and a 1 ∨ a 2 = a 3 ∨a 4 , (2.2) a 1 ∧ a 2 = a 1 ∧ a 3 and a 1 ∨ a 2 = a 1 ∨a 3 . (2.3) Now, we introduce the entropy function and show an inequality of it. Given a discrete random varia ... B n and D k l . Specifically, we find upper bound s and constructions for the sets R B n , C B n , and C D k l . 1 Introdu c tion In this paper, we study the strongly cancellative s...

Ngày tải lên: 08/08/2014, 14:23

... measurements, and drafted the manuscript. CY conducted the STEM measurement. SZ, TH, and GH conducted the MBE growth. JH, WW, and CH coordinated the study. WL provided the idea and conceived ... identified as the indirect transition from the InGaAs conduction band to the GaSb hole level (type-II) and the GaSb QDs direct interband transition (type-I) respectively, as shown in Fi...

Ngày tải lên: 20/06/2014, 20:20

... concentrations become light yellow, and the color becomes deeper and deeper with increasing Mn. The phase purity and crystal structure of the pristine ZnO and Mn-doped ZnO for various doping ... in the absorption band edge with increasing dopant concentration, and corresponding photoluminescence spectra show that Mn doping suppresses both near-band edge UV emission and defect-...

Ngày tải lên: 20/06/2014, 20:20