Linear codes associated to skew-symmetric determinantal varieties

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Linear codes associated to determinantal varieties

We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulting code has only a small number of distinct weights. The case of varieties defined by the vanishing of 2× 2 minors is considered in some detail. Here we obtain the complete weight distribution. Moreover, several gener...

متن کامل

Symmetric Determinantal Representation of Weakly-Skew Circuits

We deploy algebraic complexity theoretic techniques for constructing symmetric determinantal representations of weakly-skew circuits, which include formulas. Our representations produce matrices of much smaller dimensions than those given in the convex geometry literature when applied to polynomials having a concise representation (as a sum of monomials, or more generally as an arithmetic formu...

متن کامل

Symmetric Determinantal Representation of Formulas and Weakly Skew Circuits

We deploy algebraic complexity theoretic techniques to construct symmetric determinantal representations of formulas and weakly skew circuits. Our representations produce matrices of much smaller dimensions than those given in the convex geometry literature when applied to polynomials having a concise representation (as a sum of monomials, or more generally as an arithmetic formula or a weakly ...

متن کامل

Linear codes from Schubert Varieties

A family of linear \Algebraic{Geometric" codes is constructed from line bundles on Schubert varieties and analyzed using techniques from Representation Theory. AMS(MOS) 1991 Subject Classi cation (Primary) 94B27 (Secondary) 14M99, 20G10. Research partially supported by the US Air Force O ce of Scienti c Research. Research partially supported by the Isaac Newton Institute for Mathematical Scienc...

متن کامل

Iterative Solution of Skew-Symmetric Linear Systems

We offer a systematic study of Krylov subspace methods for solving skew-symmetric linear systems. For the method of conjugate gradients we derive a backward stable block decomposition of skew-symmetric tridiagonal matrices and set search directions that satisfy a special relationship, which we call skew-A-conjugacy. Imposing Galerkin conditions, the resulting scheme is equivalent to the CGNE al...

متن کامل

ذخیره 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: Finite Fields and Their Applications

سال: 2019

ISSN: 1071-5797

DOI: 10.1016/j.ffa.2019.03.004