• Mathematics
  • Published 2007

Some new Results for Additive Self-Dual Codes over GF(4)

@inproceedings{Varbanov2007SomeNR,
  title={Some new Results for Additive Self-Dual Codes over GF(4)},
  author={Zlatko Varbanov},
  year={2007}
}
Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13 ≤ n ≤ 21. In this paper we classify all extremal (optimal) codes of lengths 13 and 14, and we construct many extremal codes of lengths… CONTINUE READING

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