Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Maharaj, Hiren"'
For a bounded metric space X, we define a metric on the set of all finite subsets of X. This generalizes the sequence-subset distance introduced by Wentu Song, Kui Cai and Kees A. Schouhamer Immink to study error correcting codes for DNA based data s
Externí odkaz:
http://arxiv.org/abs/2302.13433
Autor:
Boettcher, Albrecht, Fukshansky, Lenny, Garcia, Stephan Ramon, Maharaj, Hiren, Needell, Deanna
Publikováno v:
Lin. Alg. Appl. 510 (2016), 395-420
We consider the set of all linear combinations with integer coefficients of the vectors of a unit tight equiangular $(k,n)$ frame and are interested in the question whether this set is a lattice, that is, a discrete additive subgroup of the $k$-dimen
Externí odkaz:
http://arxiv.org/abs/1607.05350
Autor:
Boettcher, Albrecht, Eisenbarth, Simon, Fukshansky, Lenny, Garcia, Stephan Ramon, Maharaj, Hiren
Publikováno v:
Discrete Comput. Geom. 61 (2019), no. 1, 123-135
We consider lattices generated by finite Abelian groups. We prove that such a lattice is strongly eutactic, which means the normalized minimal vectors of the lattice form a spherical 2-design, if and only if the group is of odd order or if it is a po
Externí odkaz:
http://arxiv.org/abs/1510.08804
Publikováno v:
J. Algebra 447 (2016) 560-579
We consider the well-known Rosenbloom-Tsfasman function field lattices in the special case of Hermitian function fields. We show that in this case the resulting lattices are generated by their minimal vectors, provide an estimate on the total number
Externí odkaz:
http://arxiv.org/abs/1502.06198
This paper is devoted to the study of lattices generated by finite Abelian groups. Special species of such lattices arise in the exploration of elliptic curves over finite fields. In case the generating group is cyclic, they are also known as the Bar
Externí odkaz:
http://arxiv.org/abs/1406.7595
The paper is devoted to exact and asymptotic formulas for the determinants of Toeplitz matrices with perturbations by blocks of fixed size in the four corners. If the norms of the inverses of the unperturbed matrices remain bounded as the matrix dime
Externí odkaz:
http://arxiv.org/abs/1406.7594
Autor:
Fukshansky, Lenny, Maharaj, Hiren
Publikováno v:
Finite Fields and Their Applications, vol. 28 (July 2014), pg. 67--78
In their well known book Tsfasman and Vladut introduced a construction of a family of function field lattices from algebraic curves over finite fields, which have asymptotically good packing density in high dimensions. In this paper we study geometri
Externí odkaz:
http://arxiv.org/abs/1401.2434
Autor:
Burkhart, Jessica F., Calkin, Neil J., Gao, Shuhong, Hyde-Volpe, Justine C., James, Kevin, Maharaj, Hiren, Manber, Shelly, Ruiz, Jared, Smith, Ethan
Publikováno v:
Designs, Codes, and Cryptography, 51(3):301-314, 2009
In this paper, we recursively construct explicit elements of provably high order in finite fields. We do this using the recursive formulas developed by Elkies to describe explicit modular towers. In particular, we give two explicit constructions base
Externí odkaz:
http://arxiv.org/abs/1210.3504
Autor:
Maharaj, Hiren.
This thesis is a study of the symmetry of graphs and digraphs by considering certain homogeneous embedding requirements. Chapter 1 is an introduction to the chapters that follow. In Chapter 2 we present a brief survey of the main results and some new
Externí odkaz:
http://hdl.handle.net/10413/5928
Autor:
Li, Wen-Ching, Maharaj, Hiren
The number A(q) is the upper limit of the ratio of the maximum number of points of a curve defined over $\Fq$ to the genus. By constructing class field towers with good parameters we present improvements of lower bounds of A(q) for q an odd power of
Externí odkaz:
http://arxiv.org/abs/math/9908152