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Cyclic self-dual codes over R 1 of length 42 from the lifts of gen2 

Cyclic self-dual codes over R 1 of length 42 from the lifts of gen2 

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In this work, we consider constacyclic and cyclic self-dual codes over the rings Rk. We start with theoretical existence results for constacyclic and cyclic self-dual codes of any length over Rk and then construct cyclic self-dual codes over R1 = F2 + uF2 of even lengths from lifts of binary cyclic self-dual codes. We classify all free cyclic self-...

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... tabulate these results together with the partial weight distributions. Table 4 is an interesting example of a code as the first non-zero weight not divisible by 4 is 18. It seems to have few non-zero weights, which would make it of interest for combinatorial reasons. ...

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