Projective Segre codes
نویسندگان
چکیده
Let K = Fq be a finite field. We introduce a family of projective Reed-Mullertype codes called projective Segre codes. Then we study their basic parameters and show that they are direct products of projective Reed-Muller-type codes. It turns out that the direct product of two projective Reed-Muller-type codes is again a projective Reed-Muller-type code. As a consequence we recover some results on projective Reed-Muller-type codes over the Segre variety and over projective tori.
منابع مشابه
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Let K = Fq be a finite field. We introduce a family of projective Reed-Muller-type codes called projective Segre codes. Using commutative algebra and linear algebra methods, we study their basic parameters and show that they are direct products of projective Reed-Mullertype codes. As a consequence we recover some results on projective Reed-Muller-type codes over the Segre variety and over proje...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1501.01692 شماره
صفحات -
تاریخ انتشار 2015