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arxiv: 1905.12309 · v1 · pith:JLBZRNQ3new · submitted 2019-05-29 · 🧮 math.RA

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

classification 🧮 math.RA
keywords codeconditioncycliclengthcomplementarydualnecessarypolynomial
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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].

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