New Convolutional Codes Derived from Algebraic Geometry Codes
نویسندگان
چکیده
In this paper, we construct new families of convolutional codes. Such codes are obtained by means of algebraic geometry codes. Additionally, more families of convolutional codes are constructed by means of puncturing, extending, expanding and by the direct product code construction applied to algebraic geometry codes. The parameters of the new convolutional codes are better than or comparable to the ones available in literature. In particular, a family of almost near MDS codes is presented.
منابع مشابه
Constructions of MDS-convolutional codes
Maximum-distance separable (MDS) convolutional codes are characterized through the property that the free distance attains the generalized singleton bound. The existence of MDS convolutional codes was established by two of the authors by using methods from algebraic geometry. This correspondence provides an elementary construction of MDS convolutional codes for each rate k/n and each degree δ. ...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1612.07157 شماره
صفحات -
تاریخ انتشار 2016