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STACS
2009
Springer
13 years 11 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
AAECC
2007
Springer
127views Algorithms» more  AAECC 2007»
13 years 4 months ago
Skew-cyclic codes
We generalize the notion of cyclic codes by using generator polynomials in (non commutative) skew polynomial rings. Since skew polynomial rings are left and right euclidean, the o...
Delphine Boucher, Willi Geiselmann, Felix Ulmer
DM
2008
97views more  DM 2008»
13 years 4 months ago
On the integral ring spanned by genus two weight enumerators
Abstract. It is known that the weight enumerator of a self-dual doublyeven code in genus g = 1 can be uniquely written as an isobaric polynomial in certain homogeneous polynomials ...
Manabu Oura
ICCAD
2005
IEEE
160views Hardware» more  ICCAD 2005»
14 years 1 months ago
Equivalence verification of polynomial datapaths with fixed-size bit-vectors using finite ring algebra
— This paper addresses the problem of equivalence verification of RTL descriptions. The focus is on datapathoriented designs that implement polynomial computations over fixed-s...
Namrata Shekhar, Priyank Kalla, Florian Enescu, Si...
BSL
2000
153views more  BSL 2000»
13 years 4 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon