منابع مشابه
On cyclic convolutional codes
We investigate the notion of cyclicity for convolutional codes as it has been introduced in the papers [15, 18]. Codes of this type are described as submodules of F[z]n with some additional generalized cyclic structure but also as specific left ideals in a skew polynomial ring. Extending a result of [15], we show in a purely algebraic setting that these ideals are always principal. This leads t...
متن کاملConvolutional Network Codes for Cyclic Networks
Most data networks contain cycles, but so far most attention in the literature of network coding has been addressed to multicast in acyclic networks. The original paper on network coding [1] did consider cyclic networks but there it was suggested to transform the cyclic network into an acyclic network using the idea of unrolling the network into a layered network. This approach has many drawbac...
متن کاملQuasi-cyclic unit memory convolutional codes
Unit memory convolutional codes with generator matrices, which are composed of circulant suhmatrices, are introduced. This structure facilitates the analysis as well as an efficient search for good codes. Equivalences among such codes and consider some of the basic structural properties are discussed. In particular, catastrophic encoders and minimal encoders are characterized and dual codes tre...
متن کاملAlgebraic decoding for doubly cyclic convolutional codes
An iterative decoding algorithm for convolutional codes is presented. It successively processes N consecutive blocks of the received word in order to decode the first block. A bound is presented showing which error configurations can be corrected. The algorithm can be efficiently used on a particular class of convolutional codes, known as doubly cyclic convolutional codes. Due to their highly a...
متن کاملOn the Algebraic Parameters of Convolutional Codes with Cyclic Structure
In this paper convolutional codes with cyclic structure will be investigated. These codes can be understood as left principal ideals in a suitable skew-polynomial ring. It has been shown in [4] that only certain combinations of the algebraic parameters (field size, length, dimension, and Forney indices) can occur for such cyclic codes. We will investigate whether all these combinations can inde...
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ژورنال
عنوان ژورنال: Acta Applicandae Mathematicae
سال: 2004
ISSN: 0167-8019
DOI: 10.1023/b:acap.0000027534.61242.09