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Showing 1 to 3 of 3 for “"algebraic geometry code"”.
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Two problems in the theory of curves over fields of positive characteristic
… is about the coding theory. For a full flag of codes, if it is equivalent to its duals, then it is said to have the isometry-dual property. Introducing characterizations of isometry-dual property for one-point AG codes and its preservation after puncturing at some points, some generalizations in …
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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
Expander codes are sparse graph-based codes with good decoding algorithms. We present a linear-time decoding algorithm for (C,D, alpha, gamma) expander codes based on graphs with any expansion factor given that the minimum distances of the inner codes are bounded below. We also design graph-based …