Classes of optical orthogonal codes from arcs in root subspaces
نویسندگان
چکیده
منابع مشابه
Classes of optical orthogonal codes from arcs in root subspaces
We present new constructions for (n, w, λ) optical orthogonal codes (OOC) using techniques from finite projective geometry. In one case codewords correspond to (q − 1)-arcs contained in Baer subspaces (and, in general, kth-root subspaces) of a projective space. In the other construction, we use sublines isomorphic to PG(1, q) lying in a projective plane isomorphic to PG(1, qk), k > 1. Our const...
متن کاملOptical orthogonal codes and arcs in PG(d, q)
We present a new construction for (n,w, λ)-optical orthogonal codes (OOCs). The construction is pleasingly simple, where codewords correspond to arcs, specifically normal rational curves. Moreover, our construction yields for each λ > 1 an infinite family of OOCs which are asymptotically optimal (with respect to the Johnson bound).
متن کاملSeveral Classes of (2m - 1, w, 2) Optical Orthogonal Codes
Optical orthogonal codes have applications in optical code-division multiple access communication systems and other wide band code-division multiple environments. They can also be used to construct protocol sequences for multiuser collision channel without feedback, and constant weight codes for error detection and correction. In this paper, we construct four classes of (2 − 1; w; 2) cyclotomic...
متن کاملOptical Orthogonal Codes from Singer Groups
We construct some new families of optical orthogonal codes that are asymptotically optimal. In particular, for any prescribed value of λ, we construct infinite families of (n, w, λ)-OOCs that in each case are asymptotically optimal. Our constructions rely on various techniques in finite projective spaces involving normal rational curves and Singer groups. These constructions generalize and impr...
متن کاملOptical orthogonal codes: Design, . . .
Ahstruct-An optical orthogonal code is a family of (0,l) sequences with good auto-and cross-correlation properties, i.e., the autocorrelation of each sequence exhibits the " thumbtack " shape and the cross correlation between any two sequences remains low throughout. The study of optical orthogonal codes has been motivated by an application in a code-division multiple-access fiber optic channel...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2008
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.03.063