Tables

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• Science: Math: Reference: Tables  (4)

Bounds on the Minimum Distance of Linear Codes - - 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.

Check or Generator Matrices of Some Linear Codes - - Examples for q up to 9.

Classifying Subspaces of Hamming Spaces - - 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.

Constant Weight Binary Codes - - 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.

Covering Codes - - 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.

Database on Binary Quasi-Cyclic Codes - - Interactive page to find the code parameters (generator polynomials and weight distribution) and references.

Dense Sphere Packings from New Codes - - A table with the largest densities of sphere packings known to us in dimensions up to 200.

Information about Binary Linear Codes - - Database of information on binary linear codes of length n and dimension k with n <= 85 or n <= 204 and k <= 14. Searchable.

Isometry Classes of Codes - - And other tables by Harald Fripertinger.

Lower Bounds and Encoding Circuits for Weakly Self-dual CSS Codes - - A table of codes up to length 32 encoding up to 30 qubits.

Nonlinear Binary Codes - - 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.

Optimal One-Error-Correcting Codes - - 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.