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» Codes as Modules over Skew Polynomial Rings
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GLOBECOM
2006
IEEE
13 years 11 months ago
Universal Space-Time Serially Concatenated Trellis Coded Modulations
— In this paper, we propose serially concatenated trellis coded modulations (SCTCMs) that perform consistently close to the available mutual information for the 2-by-2 compound m...
Wen-Yen Weng, Bike Xie, Richard D. Wesel
CIE
2006
Springer
13 years 7 months ago
Do Noetherian Modules Have Noetherian Basis Functions?
In Bishop-style constructive algebra it is known that if a module over a commutative ring has a Noetherian basis function, then it is Noetherian. Using countable choice we prove th...
Peter Schuster, Júlia Zappe
TCS
2008
13 years 5 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
DM
2008
112views more  DM 2008»
13 years 5 months ago
Orbit-counting polynomials for graphs and codes
We construct an "orbital Tutte polynomial" associated with a dual pair M and M of matrices over a principal ideal domain R and a group G of automorphisms of the row spac...
Peter J. Cameron, Bill Jackson, Jason D. Rudd
IJAC
2006
87views more  IJAC 2006»
13 years 5 months ago
Evaluation Properties of Symmetric Polynomials
By the fundamental theorem of symmetric polynomials, if P Q[X1, . . . , Xn] is symmetric, then it can be written P = Q(1, . . . , n), where 1, . . . , n are the elementary symmet...
Pierrick Gaudry, Éric Schost, Nicolas M. Th...