A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Filters
Subspace codes in PG(2n-1,q)
[article]
2014
arXiv
pre-print
Preserved Fulltext
Constant--dimension subspace codes gained recently lot of interest due to the work by Koetter and Kschischang, where they presented an application of such codes for error-correction in random network coding ...
Here a (2n,M,4;n)_q constant--dimension subspace code is constructed, for every n > 4. The size of our codes is considerably larger than all known constructions so far, whenever n > 4. ...
Let A be a n × n matrix over GF(q), and let I n be the n × n identity matrix. ...
arXiv:1411.3601v1
fatcat:z43stevrmfbprntytd3xbygxsi
Subspace Codes in PG(2N − 1, Q)
2016
Combinatorica
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Constant-dimension subspace codes gained recently lot of interest due to the work by Koetter and Kschischang [18], where they presented an application of such codes for error-correction in random network ...
Here a (2n, M, 4; n) q constant-dimension subspace code is constructed, for every n ≥ 4. The size of our codes is considerably larger than all known constructions so far, whenever n > 4. ...
Let A be a n × n matrix over GF(q), and let I n be the n × n identity matrix. ...
doi:10.1007/s00493-016-3354-5
fatcat:g63lsx55mfex3nts6df4euu5za
Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)×SO(n) and Sp(2n)/Sp(n)×Sp(n)
2004
Physics Letters B
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Non-local conserved charges in two-dimensional sigma models with target spaces SO(2n)/SO(n)×SO(n) and Sp(2n)/Sp(n)×Sp(n) are shown to survive quantization, unspoiled by anomalies; these theories are therefore ...
Local, higher-spin, conserved charges are also shown to survive quantization in the SO(2n)/SO(n)×SO(n) models. ...
Acknowledgements The research of J.M.E. is supported in part by Gonville and Caius College, Cambridge. C.A.S.Y. is supported by a PPARC studentship. ...
doi:10.1016/j.physletb.2004.04.042
fatcat:cn4qnlepknbmvjeuouxsnnle3y
Quadratic Cycles on GL(2n) Cusp Forms
1995
Journal of Algebra
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2011; you can also visit the original URL.
The file type is application/pdf.
It is based on integrating the kernel of the convolution operator K f x; y o v er x and y in two cycles ZC 1 nC 1 and ZC 2 nC 2 . ...
The case of the group C C and the subgroups C 1 = C 2 = C embedded diagonally, coincides with the standard trace formula. ...
The proofs of BDKV , F2 , F1; III and FK1 are based on the Deligne-Kazhdan" simple trace formula, and that of FK2 on a sharper form of the simple trace formula, where regular, Iwahori-invariant functions ...
doi:10.1006/jabr.1995.1146
fatcat:lv6duvgedvafxfht4h7d2i6eme
Automorphisms and Equivalence of Bent Functions and of Difference Sets in Elementary Abelian 2-Groups
2006
Communications in Algebra
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2007; you can also visit the original URL.
The file type is application/pdf.
We describe some series of such sets and compute their automorphism group. ...
For some of these sets the construction is based on the nonvanishing of the degree 1-chohomology of certain Chevalley groups in characteristic two. ...
This package was essential for the computations of the previous section. It was also very useful for the theoretical results as computations in small cases often indicated a general statement. ...
doi:10.1080/00927870500442062
fatcat:p7fe534pwjgn5gpf6c5genmjfq
Error resilient MPEG-2 video coding schemes based on three layer error control coding
2006
2006 8th International Conference Advanced Communication Technology
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf.
Design of error-control coding schemes for three problems of noisy information transmission, storage and processing. Eindhoven: Technische Universiteit Eindhoven. https://doi.org/10.6100/IR274904 ...
Acknowledgment This paper is based on the author's Master's Thesis [4]
Acknowledgment The author wishes to thank one of the anonymous referees for pointing out to him Vasil'ev's construction [12] which ...
leads to Construction 3B and Example 3. ...
doi:10.1109/icact.2006.206270
fatcat:bqbplmz4nfe73evaekbv776kni
Legendrian Submanifolds in R^2n+1 and Contact Homology
[article]
2002
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Other Versions
In a sense, the definition of contact homology presented in this paper is a high dimensional analog of the work of Chekanov and others on Legendrian 1-knots in 3-space. ...
For example, infinite families of pairwise non-isotopic Legendrian n-spheres and n-tori, which are indistinguishable by means of previously known invariants, are constructed. ...
) and its trace∂u|∂D m lies in H 1 2 (D m , T * 0,1 D m ⊗ C n )). ...
arXiv:math/0210124v3
fatcat:x5jmeedjpvdbdnitxeak6d3wlu
Approximate Randomization of Quantum States With Fewer Bits of Key
2006
AIP Conference Proceedings
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Other Versions
Our bound is a log d factor smaller than that of Hayden, Leung, Shor, and Winter (2004), and Ambainis and Smith (2004). ...
We present an improved, efficient construction of an approximately randomizing map that uses O(d/epsilon^2) Pauli operators to map any d-dimensional state to a state that is within trace distance epsilon ...
Acknowledgements We thank Debbie Leung, Harold Ollivier, and David Woodruff for helpful discussions, Noga Alon for providing a copy of [2] , and Alfred Menezes and Jeff Shallit for pointers to the literature ...
doi:10.1063/1.2400876
fatcat:pyejgozcl5c5bgbxohgxsjggrq
Mutually unbiased bases, generalized spin matrices and separability
2004
Linear Algebra and its Applications
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
1/d : | v, w | 2 = 1 d . ...
Additionally we give formulas from which the orthogonal bases can be readily computed. We show how the techniques developed here provide a natural way to analyze the separability of the bases. ...
Then V 2 (GF(p n )) can be written as a 2n-dimensional space over Z p . ...
doi:10.1016/j.laa.2004.04.025
fatcat:xzp5ehmrtndlfi7fvbdn2lud24
The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)
[article]
2007
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Other Versions
Furthermore, the reduced version of the problem, involving such diagonal local operations, is mapped to questions regarding quadratic forms over the finite field GF(2). ...
The contribution of this paper is a reduction of the LU-LC conjecture to a simpler problem - which, however, remains to date unsolved. ...
This work has been supported by the European Union (QICS, OLAQUI, SCALA, QAP, EURYI grant of J. Eisert), the FWF, and the EPSRC (IRC QIC). ...
arXiv:0707.4000v2
fatcat:7rkm7wxz4rcxtkovgwcnps2sgy
Wigner functions and separability for finite systems
2005
Journal of Physics A: Mathematical and General
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf.
Other Versions
A discussion of discrete Wigner functions in phase space related to mutually unbiased bases is presented. ...
This is in contrast to the more usual choice of a two-dimensional phase space containing p^(2n) points. ...
In addition, there is a trace operation defined on GF (p n ) that is linear over GF (p) and that maps GF (p n ) to GF (p). ...
doi:10.1088/0305-4470/38/26/012
fatcat:m6z7anyszzdvrj3cvvbdmm2sgy
Mutually Unbiased Bases, Generalized Spin Matrices and Separability
[article]
2004
arXiv
pre-print
Preserved Fulltext
The Internet Archive has a preservation copy of this work in our general collections.
The file type is application/pdf.
Other Versions
A collection of orthonormal bases for a complex dXd Hilbert space is called mutually unbiased (MUB) if for any two vectors v and w from different bases the square of the inner product equals 1/d: || ^2 ...
Additionally we give formulas from which the orthogonal bases can be readily computed. We show how the techniques developed here provide a natural way to analyze the separability of the bases. ...
trace operation and dual bases. ...
arXiv:quant-ph/0308142v2
fatcat:qpc5cchtafbbxhfj3sfigbzoa4
Constructive recognition of classical groups in odd characteristic
2009
Journal of Algebra
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf.
Let G = X GL(d, F ) be a classical group in its natural representation defined over a finite field F of odd characteristic. ...
The algorithms run in polynomial-time, subject to the existence of a discrete logarithm oracle for F . ...
We can write G over GF(q) by conjugating G by a diagonal matrix diag(α, 1) where α is an element of trace 0 in GF(q 2 ); alternatively we could use the algorithm of [22] ; either requires O (log q) field ...
doi:10.1016/j.jalgebra.2009.04.028
fatcat:2sbas3gmufbbldoyiwhqn6ygpe
Multi-letter Youden rectangles from quadratic forms
2003
Discrete Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2003; you can also visit the original URL.
The file type is application/pdf.
Some infinite families of systems of linked symmetric designs (or SLSDs, for short) were constructed by Cameron and Seidel [3] using quadratic and bilinear forms over GF(2). ...
These rectangles are k × v, with v = 2 2n and k = 2 2n−1 ± 2 n−1 . ...
Bailey and D. A. Preece for explanations, comments, and access to their reprint collections. ...
doi:10.1016/s0012-365x(02)00804-x
fatcat:bkgjptjur5gofj6pfjljpeio74
Low complexity normal bases
1989
Discrete Applied Mathematics
Preserved Fulltext
A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
In GF(2'") squaring with respect to a normal basis representation becomes simply a cyclic shift of the vector. For hardware design this is one of the very attractive features of these bases. ...
In this paper we investigate low complexity normal bases, give a construction for such bases and apply it to a number of cases of interest. ...
, California Institute of Technology, with regard to Algorithm 2.7 and Theorem 2.2 respectively. ...
doi:10.1016/0166-218x(89)90001-2
fatcat:i44sqckagbdgtays6mnjiz2t24
« Previous
Showing results 1 — 15 out of 2,652 results