Tables Coding Theory Communication Theory Applications

Tables

Tables of codes.

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• - Examples for q up to 9.
  
• - Lower bounds (and in some cases exact values) for A(n,d), the size of the largest binary code of length n and minimal distance d.
  
• - Fill in q, n, k, and get bounds on the maximal minimum distance of the linear codes over GF(q) with length n and dimension k.
  
• - By P. R. J. Östergård. The following codes with minimum distance greater than or equal to 3 are classified: binary codes up to length 14, ternary codes up to length 11, and quaternary codes up to length 10.
  
• - And other tables by Harald Fripertinger.
  
• - Interactive page to find the code parameters (generator polynomials and weight distribution) and references.
  
• - Optimal binary one-error-correcting codes of length 10 have 72 codewords. Tables to supplement the paper published in IEEE-IT 45 by P.R.J. Östergård, T. Baicheva and E. Kolev.
  
• - A table of codes up to length 32 encoding up to 30 qubits.
  
• - Database of information on binary linear codes of length n and dimension k with n <= 85 or n <= 204 and k <= 14. Searchable.
  
• - A table with the largest densities of sphere packings known to us in dimensions up to 200.
  
• - The best known bounds on the size of binary covering codes of length up to 33 and covering radius up to 10. Compiled by Simon Litsyn.
  
• - Lower bounds (and in some cases exact values) for A(n,d,w), the size of the largest binary code of length n, distance d and constant weight w.
  
• - Tables of bounds on the size of binary unrestricted codes, constant-weight codes, doubly-bounded-weight codes, and doubly-constant-weight codes. Compiled by Erik Agrell, Chalmers.
  
  

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