مشخصات پژوهش

عنوان	QUADRATIC RESIDUE CODES OVER Z4 + u1Z4 + ... + utZ4 AND QUANTUM CODES FROM THESE CODES
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Cyclic codes, Euclidean self-dual codes, Hermitian self-dual codes
چکیده	In this paper linear and cyclic codes over the ring R = Z4+u1Z4+:::+utZ4 are investigated, where t  1. The structure of Euclidean and Hermitian linear selfdual codes over R is studied. A distance preserving Gray map from R to Zt+1 4 is also presented. Moreover, quadratic residue codes over R are defined. Further, Euclidean and Hermitian self-dual families of quadratic residue codes over R are observed and four Hermitian self-dual codes of length p over the ring R are introduced if p  􀀀1 (mod 8) or p  1 (mod 8). In particular, a method is presented to construct quantum codes over F2 from Gray images of quadratic residue codes over the ring R. The results are presented in the table.
پژوهشگران	آرزو صوفی (نفر اول)، کریم سامعی (نفر دوم)