A new table of constant weight codes

نویسندگان

  • Andries E. Brouwer
  • James B. Shearer
  • N. J. A. Sloane
  • Warren D. Smith
چکیده

A table of binary constant weight codes of length n <; 28 is presented. Explicit constructions are given for most of the 600 codes in the table; the majority of these codes are new. The known techniques for constructing constant weight codes are surveyed, and also a table is given of (unrestricted) binary codes of length J1 <; 28.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Optimal Constant Weight Codes

In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by filling in 9 missing constant weight codes, all of which are optimal by the second Johnson bound. This completes the tables for A(n, 16, 9) and A(n, 18, 10) up to n = 63 and corrects some A(n, 14, 8).

متن کامل

Some new distance-4 constant weight codes

Improved binary constant weight codes with minimum distance 4 and length at most 28 are constructed. A table with bounds on the chromatic number of small Johnson graphs is given.

متن کامل

Constant Weight Codes with Package CodingTheory.m in Mathematica

The author offers the further development of package CodingTheory.m [1] in the direction of research of properties and parameters of Constant weight codes (lower and upper bounds) based on works [2], [3] and also using the Table of Constant Weight Binary Codes (online version, Neil J. A. Sloane: Home Page http://www.research.att.com/~njas/codes/Andw/) and the table of upper bounds on A(n, d, w)...

متن کامل

A table of upper bounds for binary codes

Let ( ) denote the maximum possible number of codewords in an ( ) binary code. We establish four new bounds on ( ), namely, (21 4) 43 689, (22 4) 87 378, (22 6) 6941, and (23 4) 173 491. Furthermore, using recent upper bounds on the size of constant-weight binary codes, we reapply known methods to generate a table of bounds on ( ) for all 28. This table extends the range of parameters compared ...

متن کامل

Upper Bounds for Constant - Weight

| Let A(n; d; w) denote the maximum possible number of codewords in an (n; d; w) constant-weight binary code. We improve upon the best known upper bounds on A(n; d; w) in numerous instances for n 6 24 and d 6 10, which is the parameter range of existing tables. Most improvements occur for d = 8; 10, where we reduce the upper bounds in more than half of the unresolved cases. We also extend the e...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • IEEE Trans. Information Theory

دوره 36  شماره 

صفحات  -

تاریخ انتشار 1990