English

Concatenated Conjugate Codes

Quantum Physics 2007-05-23 v2

Abstract

A conjugate code pair is defined as a pair of linear codes either of which contains the dual of the other. A conjugate code pair represents the essential structure of the corresponding Calderbank-Shor-Steane (CSS) quantum code. It is known that conjugate code pairs are applicable to (quantum) cryptography. We give a construction method for efficiently decodable conjugate code pairs.

Cite

@article{arxiv.quant-ph/0610194,
  title  = {Concatenated Conjugate Codes},
  author = {Mitsuru Hamada},
  journal= {arXiv preprint arXiv:quant-ph/0610194},
  year   = {2007}
}

Comments

Submitted to IEEE Trans. Information Theory (Aug. 2006). Ver.2: an obvious tiny error corrected (rate is k/n, not k)