Authors - Indibar Debnath, Om Prakash Abstract - For a prime p and ℓ ∈ N with gcd(ℓ, p) = 1, this work explores the hulls of ℓ-length cyclic codes over Zp3 . We establish the form of the generators of the hulls and provide a characterization of the hulls. Further, we present a condition for these codes to be LCD. To formulate the p-dimensions of the hulls, first, we find the types of the hulls and then use them to come up with an expression for the p-dimensions of the hulls. Moreover, for a fixed p-dimension of the hull, we count all the cyclic codes.
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