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JSC
2010
63views more  JSC 2010»
13 years 2 months ago
A bound on the projective dimension of three cubics
We show that given any polynomial ring R over a field and any ideal J R which is generated by three cubic forms, the projective dimension of R/J is at most 36. We also settle the...
Bahman Engheta
FFA
2008
75views more  FFA 2008»
13 years 7 months ago
Syntactical and automatic properties of sets of polynomials over finite fields
Syntactical properties of representations of integers in various number systems are well-known and have been extensively studied. In this paper, we transpose the notion of recogniz...
Michel Rigo
CORR
2006
Springer
99views Education» more  CORR 2006»
13 years 7 months ago
An Embedding of the BSS Model of Computation in Light Affine Lambda-Calculus
This paper brings together two lines of research: implicit characterization of complexity classes by Linear Logic (LL) on the one hand, and computation over an arbitrary ring in t...
Patrick Baillot, Marco Pedicini
TCS
2008
13 years 7 months ago
Making the use of maximal ideals constructive
The purpose of this paper is to decipher constructively a lemma of Suslin which played a central role in his second solution of Serre's problem on projective modules over pol...
Ihsen Yengui
TCC
2009
Springer
184views Cryptology» more  TCC 2009»
14 years 8 months ago
Secure Arithmetic Computation with No Honest Majority
We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case o...
Yuval Ishai, Manoj Prabhakaran, Amit Sahai