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Showing 1 to 4 of 4 for “"hermitian curve"”.
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Codes from norm-trace curves: local recovery and fractional decoding
Codes from curves over finite fields were first developed in the late 1970's by V. D. Goppa and are known as algebraic geometry codes. Since that time, the construction has been tailored to fit particular applications, such as erasure recovery and error correction using less received information …
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Graph-based and algebraic codes for error-correction and erasure recovery
… cryptography. In particular, we consider twisted Hermitian codes, twisted codes from a quotient of the Hermitian curve; and twisted norm-trace codes. These codes have Schur squares with large dimensions and hence could be considered as potential replacements for Goppa codes in the McEliece …
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Improved Bounds for Codes and Secret Sharing Schemes from Algebraic Curves
… connection: function fields of algebraic curves can be used to construct a large class of error-correcting codes. Such codes are called algebraic geometric (AG) codes. AG codes from divisors supported in only one point on the Hermitian curve produce long codes with excellent parameters. …