Search results
Results from the WOW.Com Content Network
A BCH code with = is called a narrow-sense BCH code.; A BCH code with = is called primitive.; The generator polynomial () of a BCH code has coefficients from (). In general, a cyclic code over () with () as the generator polynomial is called a BCH code over ().
It is used as one of the steps in decoding BCH codes and Reed–Solomon codes (a subclass of BCH codes). George David Forney Jr. developed the algorithm. [1]
A certain family of BCH codes have a particularly useful property, which is that treated as linear operators, their dual operators turns their input into an -wise independent source. That is, the set of vectors from the input vector space are mapped to an ℓ {\displaystyle \ell } -wise independent source.
Chapter 5 studies cyclic codes and Chapter 6 studies a special case of cyclic codes, the quadratic residue codes. Chapter 7 returns to BCH codes. [1] [6] After these discussions of specific codes, the next chapter concerns enumerator polynomials, including the MacWilliams identities, Pless's own power moment identities, and the Gleason ...
By 1963 (or possibly earlier), J. J. Stone (and others) recognized that Reed–Solomon codes could use the BCH scheme of using a fixed generator polynomial, making such codes a special class of BCH codes, [4] but Reed–Solomon codes based on the original encoding scheme are not a class of BCH codes, and depending on the set of evaluation ...
BCH code (Bose–Chaudhuri–Hocquenghem code), a code in coding theory; Bachelor of Surgery, a component of some undergraduate medical degrees; Baker–Campbell–Hausdorff formula, in mathematics and Lie group theory; Biosafety Clearing-House, an international mechanism that exchanges information about the movement of genetically modified ...
For premium support please call: 800-290-4726 more ways to reach us
The 95 isprint codes 32 to 126 are known as the ASCII printable characters. Some older and today uncommon formats include BOO, BTOA , and USR encoding. Most of these encodings generate text containing only a subset of all ASCII printable characters: for example, the base64 encoding generates text that only contains upper case and lower case ...