On Non-binary Quantum BCH Codes

XU Ya-jie, Zhi Ma, Chunyuan Zhang

Leng Riguang, Zhi Ma

Jianfa Qian, Lina Zhang

You Gao, Ya-Yuan Tao

Let q be a power of an odd prime number p. We use finite fields to character q-ary BCH codes, then use puncturing and gluing methods to construct self-orthogonal BCH codes. Finally we obtain families of q-ary quantum codes by using the self-orthogonal BCH codes constructed.

Jaskarn Singh Bhullar, Manish K. Gupta

Classical Bose-Chaudhuri-Hocquenghem (BCH) codes C that contain their dual codes can be used to construct quantum stabilizer codes this chapter studies the properties of such codes. It had been shown that a BCH code of length n which contains its dual code satisfies the bound on weight of any non-zero codeword in C and converse is also true. One impressive difficulty in quantum communication and computation is to protect informationcarrying quantum states against undesired interactions with the environment. To address this difficulty, many good quantum errorcorrecting codes have been derived as binary stabilizer codes. We were able to shed more light on the structure of dual containing BCH codes. These results make it possible to determine the parameters of quantum BCH codes in terms of weight of non-zero dual codeword.

Xu, Yajie, ± Ma +3 more