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» Codes as Modules over Skew Polynomial Rings
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GLOBECOM
2006
IEEE
15 years 5 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
15 years 1 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
96
Voted
TCS
2008
14 years 11 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»
14 years 11 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»
14 years 11 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...