In mathematics and computer science, the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich Goppa, but the binary structure gives it several mathematical advantages over non-binary variants, also providing a better fit for common usage in computers and telecommunication. Binary Goppa codes have interesting properties suitable for cryptography in McEliece-like cryptosystems and similar setups.
the binaryGoppacode is an error-correcting code that belongs to the class of general Goppacodes originally described by Valerii Denisovich Goppa, but...
algorithm uses binaryGoppacodes (subfield codes of algebraic geometry codes of a genus-0 curve over finite fields of characteristic 2); these codes can be efficiently...
particular, it is possible to design binary BCH codes that can correct multiple bit errors. Another advantage of BCH codes is the ease with which they can...
secure when used with a BinaryGoppacode. Alice selects a binary (n, k)-linear Goppacode, G, capable of correcting t errors. This code possesses an efficient...
Berger code Constant-weight code Convolutional code Expander codes Group codes Golay codes, of which the Binary Golay code is of practical interest Goppa code...
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