Description

Book Synopsis

 .- Invited talks.

.- The restricted decoding problem and its application to post-quantum cryptography.

.- Algebraic curves over finite fields: rational points and birational invariants.

.- An overview of mathematical problems, cryptosystems, and their interconnection.

.- Making and breaking post-quantum cryptography from elliptic curve.

.- Coding theory.

.- Determining the complete weight distributions of some families of cyclic codes.

.- Central limit theorem for linear eigenvalue statistics of random matrices from binary linear codes.

.- On decoding hyperbolic codes.

.- Fast decoding of group testing results from Reed-Solomon d-disjunct matrices.

.- Quantum CSS Duadic and Triadic Codes: New Insights and Properties.

.- Cryptography and Boolean functions.

.- Prescribing traces of primitive elements in finite fields.

.- On Cryptographic Properties of a Class of Power Permutations in Odd Characteristic.

.- Generating Gaussian pseudorandom noise with binary sequences.

.- An FPGA Accelerated Search Method for Maximum Period NLFSRs File.

.- On fat linearized polynomials.

.- Counting polynomials with distinct roots in finite fields using the subset sum problem.

.- Generalized class group actions on oriented elliptic curves with level structure.

.-  Differential biases, c-differential uniformity, and their relation to differential attacks.

.- On the Walsh and Fourier-Hadamard Supports of Boolean functions from a quantum viewpoint.

.- Postquantum Cryptography.

.- Efficient Batch Post-Quantum Signatures with Crystals Dilithium.

.- A Practical Group Signature Scheme based on Rank Metric.

.- SMALL: Scalable Matrix OriginAted Large Integer PoLynomial Multiplication Accelerator for Lattice-based Post-Quantum Cryptography.

Arithmetic of Finite Fields

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    £49.99

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    Order before 4pm today for delivery by Wed 17 Jun 2026.

    A Paperback by Svetla Petkova-Nikova

    15 in stock


      View other formats and editions of Arithmetic of Finite Fields by Svetla Petkova-Nikova

      Publisher: Springer
      Publication Date: 07/03/2025
      ISBN13: 9783031818233, 978-3031818233
      ISBN10:

      Description

      Book Synopsis

       .- Invited talks.

      .- The restricted decoding problem and its application to post-quantum cryptography.

      .- Algebraic curves over finite fields: rational points and birational invariants.

      .- An overview of mathematical problems, cryptosystems, and their interconnection.

      .- Making and breaking post-quantum cryptography from elliptic curve.

      .- Coding theory.

      .- Determining the complete weight distributions of some families of cyclic codes.

      .- Central limit theorem for linear eigenvalue statistics of random matrices from binary linear codes.

      .- On decoding hyperbolic codes.

      .- Fast decoding of group testing results from Reed-Solomon d-disjunct matrices.

      .- Quantum CSS Duadic and Triadic Codes: New Insights and Properties.

      .- Cryptography and Boolean functions.

      .- Prescribing traces of primitive elements in finite fields.

      .- On Cryptographic Properties of a Class of Power Permutations in Odd Characteristic.

      .- Generating Gaussian pseudorandom noise with binary sequences.

      .- An FPGA Accelerated Search Method for Maximum Period NLFSRs File.

      .- On fat linearized polynomials.

      .- Counting polynomials with distinct roots in finite fields using the subset sum problem.

      .- Generalized class group actions on oriented elliptic curves with level structure.

      .-  Differential biases, c-differential uniformity, and their relation to differential attacks.

      .- On the Walsh and Fourier-Hadamard Supports of Boolean functions from a quantum viewpoint.

      .- Postquantum Cryptography.

      .- Efficient Batch Post-Quantum Signatures with Crystals Dilithium.

      .- A Practical Group Signature Scheme based on Rank Metric.

      .- SMALL: Scalable Matrix OriginAted Large Integer PoLynomial Multiplication Accelerator for Lattice-based Post-Quantum Cryptography.

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