Quantum codes from one-point codes on norm-trace curves

Kim, Boran

doi:10.1007/s12095-022-00586-3

Cryptogr. Commun.

2022

DOI: 10.1007/s12095-022-00586-3

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Quantum codes from one-point codes on norm-trace curves

Boran Kim

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Cited by 2 publications

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Decreasing norm-trace codes

Carvalho,

López,

Matthews

2023

Des. Codes Cryptogr.

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Decreasing norm-trace codes

Carvalho,

López,

Matthews

2023

Des. Codes Cryptogr.

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Bases for Riemann–Roch spaces of linearized function fields with applications to generalized algebraic geometry codes

Navarro

2024

Des. Codes Cryptogr.

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Several applications of function fields over finite fields, or equivalently, algebraic curves over finite fields, require computing bases for Riemann–Roch spaces. In this paper, we determine explicit bases for Riemann–Roch spaces of linearized function fields, and we give a lower bound for the minimum distance of generalized algebraic geometry codes. As a consequence, we construct generalized algebraic geometry codes with good parameters.

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Quantum codes from one-point codes on norm-trace curves

Cited by 2 publications

References 18 publications

Decreasing norm-trace codes

Decreasing norm-trace codes

Bases for Riemann–Roch spaces of linearized function fields with applications to generalized algebraic geometry codes

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