15 search results - page 1 / 3 » Codes as Modules over Skew Polynomial Rings |
IMA
2009
Springer
13 years 11 months ago
2009
Springer
In previous works we considered codes defined as ideals of quotients of skew polynomial rings, so called Ore rings of automorphism type. In this paper we consider codes defined a...
CORR
2007
Springer
13 years 4 months ago
2007
Springer
: In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring. Using that the skew ...
AAECC
2007
Springer
13 years 5 months ago
2007
Springer
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...
JSC
1998
13 years 4 months ago
1998
TIT
1998
13 years 4 months ago
1998
—A length n group code over a group G is a subgroup of Gn under component-wise group operation. Group codes over dihedral groups DM, with 2M elements, that are two-level construc...