The Rank of ${BBZ}_{4}$ Cyclic Codes of length $2^{e}$
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abstract
In this paper, we study cyclic codes of length n = 2e over the ring R4 = 4[x]/(xn - 1). In particular, we study the rank of these codes and derive a closed-form expression for that. Finally, we give an example in which we study all codes of length 8 and classify them according to their type.
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First International Symposium on Control, Communications and Signal Processing, 2004.