On Weight Distributions of Homogeneous Metric Spaces Over GF (p) and MacWilliams Identity
نویسنده
چکیده
We introduce in this paper the notion homogeneous metric space on the Galois field GF (p) , where p is a prime natural number. We show that homogeneous weight enumerators of some linear codes over GF (p) are Hamming weight enumerators of some of their p-ary images. It is also proved that in some cases, the MacWilliams Identity holds for homogeneous metric spaces.
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