Long BCH codes are bad

Quantum Bch Codes

After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model—the quantum erasure channel—is discussed. Finally, parameters of quantum BCH codes are provided.

BCH convolutional codes

Using a new parity-check matrix, a class of convolutional codes with a designed free distance is introduced. This new class of codes has many characteristics of BCH block codes, therefore, we call these codes BCH convolutional codes.

Codes between Bch and Rs Codes

The codes obtained as the shortened binary image of linear codes over GF(2m) are studied in detail. Their dimension is computed and it is shown that they may be used as unequal error proteetion codes.

BCH codes of length 511

Performance of Generalized Bch Codes

Performance of BCH Codes over GF(q'). (December 1996) Kuntal Dilipsinh Sampat, B. E. , University of Bombay Chair of Advisory Committee: Dr. Jay N. Livingston The main work involved in this thesis is the implementation of a generalized encoder and decoder for BCH codes. The special feature of the implementation is that it works over all finite fields and their extensions as opposed to earlier i...