most citedThe condition for a cyclic code over Z4 of odd length to have a complementary dual

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math.RA2019★ 2 cited

The condition for a cyclic code over Z4 of odd length to have a complementary dual

Seth Gannon, Hamid Kulosman

We show that a necessary and sufficient condition for a cyclic code C over Z4 of odd length to be an LCD code is that C=(f(x)) where f is a self-reciprocal polynomial in Z4[X].