Báo cáo toán học: "Codes, Lattices, and Steiner Systems" potx
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,...
Báo cáo toán học: "Schur functions and alternating sums" potx
... 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...
Báo cáo toán học: "Maxmaxflow and Counting Subgraphs" potx
... 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...
Báo cáo toán học: "Codes and Projective Multisets" docx
... 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...
Báo cáo toán học: "Codes from cubic curves and their extensions" potx
... 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...
Báo cáo toán học: "Strongly Cancellative and Recovering Sets on Lattices" docx
... 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...
Báo cáo toán học: " The structural and optical properties of GaSb/InGaAs type- quantum dots grown on InP (100) substrate" ppt
... 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...
Báo cáo toán học: " Structural, optical and magnetic studies of manganese-doped zinc oxide hierarchical microspheres by self-assembly of nanoparticles" docx
... 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-...