arxiv: 1707.00153 · v1 · pith:NJTVXI2Lnew · submitted 2017-07-01 · 💻 cs.IT · math.IT

Trace codes over Z₄ and Boolean function

Minjia Shi , Yan Liu , Randriam Hugues , Lin Sok , Patrick Sole This is my paper

classification 💻 cs.IT math.IT

keywords codesbooleantraceconstructdistributionexponentialfamilyfunction

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We construct trace codes over $\Z_4$ by using Boolean functions and skew sets, respectively. Their Lee weight distribution is studied by using a Galois ring version of the Walsh-Hadamard transform and exponential sums. We obtain a new family of optimal two-weight codes over $\Z_4.$

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Trace codes over Z₄ and Boolean function

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