Some constructions of linearly optimal group codes
نویسندگان
چکیده
منابع مشابه
Some Optimal Codes From Designs
The binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. A new method is also introduced to study optimal codes.
متن کاملGeometric constructions of optimal optical orthogonal codes
We provide a variety of constructions of (n,w, λ)-optical orthogonal codes using special sets of points and Singer groups in finite projective spaces. In several of the constructions, we are able to prove that the resulting codes are optimal with respect to the Johnson bound. The optimal codes exhibited have λ = 1, 2 and w − 1 (where w is the weight of each codeword in the code). The remaining ...
متن کاملsome optimal codes from designs
the binary and ternary codes spanned by the rows of the point by block incidence matrices of some 2-designs and their complementary and orthogonal designs are studied. a new method is also introduced to study optimal codes.
متن کاملConstructions for optimal optical orthogonal codes
In this paper two recursive constructions for optimal optical orthogonal codes are presented by means of incomplete di/erence matrices and perfect cyclic di/erence packings. These improve the known existence results concerning optimal (v; 4; 1)-OOCs. c © 2002 Elsevier Science B.V. All rights reserved.
متن کاملConstructions of optimal quaternary constant weight codes via group divisible designs
Generalized Steiner systems GS(2, k, v, g) were first introduced by Etzion and used to construct optimal constant weight codes over an alphabet of size g + 1 with minimum Hamming distance 2k − 3, in which each codeword has length v and weight k. As to the existence of a GS(2, k, v, g), a lot of work has been done for k = 3, while not so much is known for k = 4. The notion k-GDD was first introd...
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: Linear Algebra and its Applications
سال: 2010
ISSN: 0024-3795
DOI: 10.1016/j.laa.2010.03.002