TIT
2010
13 years 7 months ago
2010
Typical minimum distances and error exponents are analyzed on the 8-PSK Gaussian channel for two capacityachieving code ensembles with different algebraic structure. It is proved t...
MOC
1998
14 years 12 days ago
1998
Let p be a prime and let G be the 3-fold direct product of the cyclic group of order p. R´edei conjectured if G is the direct product of subsets A and B, each of which contains th...
COMBINATORICS
2006
14 years 23 days ago
2006
Let m be a positive integer whose smallest prime divisor is denoted by p, and let Zm denote the cyclic group of residues modulo m. For a set B = {x1, x2, . . . , xm} of m integers...
ISAAC
2009
Springer
14 years 7 months ago
2009
Springer
It is well known that every finite abelian group G can be represented as a direct product of cyclic groups: G ∼= G1 × G2 × · · · × Gt, where each Gi is a cyclic group of ...