Abstract:Abstract-Viewing an n-length vector over Fqm (the finite field of q m elements) as an m × n matrix over Fq, by expanding each entry of the vector with respect to a basis of Fqm over Fq, the rank weight of the n-length vector over Fqm is the rank of the corresponding m × n matrix over Fq. Using appropriate Discrete Fourier Transform (DFT), it is known that under some conditions, n-length cyclic codes over Fqm , (n|q m −1 and m ≤ n), have full-rank (= m). In this paper, using this result, we obtain designs for F… Show more
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