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Characterizes weight distributions in algebraic geometry codes, indicating error correction potential.
We present a general method for characterizing the supports of small-weight codewords of algebraic geometry codes. We apply the method to investigate the weight distributions of error-correcting codes constructed from the Hermitian curve and from norm-trace curves, providing closed formulas for several parameter sets. The results presented in this paper draw on E. Ballico’s contributions to the connection between coding theory and algebraic geometry.
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Alberto Ravagnani (2025) studied this question.
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