On the structure of optimal error-correcting codes

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

Optimal Extension of Error Correcting Output Codes

Error correcting output codes (ECOC) represent a successful extension of binary classifiers to address the multiclass problem. In this paper, we propose a novel technique called ECOC-ONE (Optimal Node Embedding) to improve an initial ECOC configuration defining a strategy to create new dichotomies and improve optimally the performance. The process of searching for new dichotomies is guided by t...

متن کامل

Optimal Extension of Error Correcting Output Codes

Error correcting output codes (ECOC) represent a successful extension of binary classifiers to address the multiclass problem. In this paper, we propose a novel technique called ECOC-ONE (Optimal Node Embedding) to improve an initial ECOC configuration defining a strategy to create new dichotomies and improve optimally the performance. The process of searching for new dichotomies is guided by t...

متن کامل

Evolutionary Algorithms for Optimal Error-Correcting Codes

The maximum possible number of codewords in a q-ary code of length n and minimum distance d is denoted Aq(n,d). It is a fundamental problem in coding theory to determine this value for given parameters q, n and d. Codes that attain the maximum are said to be optimal. Unfortunately, for many different values of these parameters, the maximum number of codewords is currently unknown: instead we ha...

متن کامل

Optimal Ternary ( 10 , 7 ) Error - Correcting Codes

We describe a series of exhaustive computer searches to determine the maximum number of words in ternary codes of length 10 and minimum distance 7, and to find all such optimal codes. We show that there are exactly 10 inequivalent (10, 14, 7) ternary codes. We prove A3(10, 7) = 14 by showing that none of the (10, 14, 7)3 codes can be extended to a (10, 15, 7)3 code, thereby also giving A3(11, 7...

متن کامل

On Optimal Binary One-Error-Correcting Codes of Lengths

Best and Brouwer [Discrete Math. 17 (1977), 235– 245] proved that triply-shortened and doubly-shortened binary Hamming codes (which have length 2m − 4 and 2m − 3, respectively) are optimal. Properties of such codes are here studied, determining among other things parameters of certain subcodes. A utilization of these properties makes a computeraided classification of the optimal binary one-erro...

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: Discrete Mathematics

سال: 1998

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(97)00102-7