Performance assessment of Hamming Code

Hamming codes can detect up to two simultaneous bit errors, and correct single-bit errors; thus, reliable communication is possible when the Hamming distance between the transmitted and received bit patterns is less than or equal to one. By contrast, the simple parity code cannot correct errors, and can only detect an odd number of errors. We will analyze hamming code with simulations (using Hardware description language, VHDL) that shows minimum occurrence of error bits for all the data bits. The simulation handles errors two or more errors will cause an incorrect syndrome value. To deal with this problem, another check bit can be added to establish even parity over all other output bits, data and check. An even number of bit errors can now be detected (but not corrected) [12].