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{ "item_title" : "Arithmetic of Finite Fields", "item_author" : [" Lilya Budaghyan", "Francisco Rodríguez-Henríquez "], "item_description" : "Pre- and post-quantum diffie-hellman from groups, actions, and isogenies.- A new family of pairing-friendly elliptic curves.- superspecial hyperelliptic curves of genus 4 over small finite fields.- Fast computation of isomorphisms between finite fields using elliptic curves.- construction of some codes suitable for both side channel and fault injection attacks.- On hardware implementation of tang-maitra boolean functions.- rapid hardware design for cryptographic modules with filtering structures over small finite fields.- Sequences with low correlation.- Vector-valued modular forms on finite upper half planes.- Normal basis exhaustive search.- On symmetry and differential properties of generalized boolean functions.- Characterizations of partially bent and plateaued functions over finite fields.- Codes of length two correcting single errors of limited size II.- Fractional jumps: complete characterisation and an explicit infinite family.- Some sextics of genera five and seven attaining the serre bound.- Direct constructions of (involutory) MDS matrices from block vandermonde and cauchy-like matrices.- Exploiting preprocessing for quantum search to break parameters for MQ cryptosystems.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/03/005/152/3030051528_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Arithmetic of Finite Fields|Lilya Budaghyan

Arithmetic of Finite Fields : 7th International Workshop, Waifi 2018, Bergen, Norway, June 14-16, 2018, Revised Selected Papers

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Overview

Pre- and post-quantum diffie-hellman from groups, actions, and isogenies.- A new family of pairing-friendly elliptic curves.- superspecial hyperelliptic curves of genus 4 over small finite fields.- Fast computation of isomorphisms between finite fields using elliptic curves.- construction of some codes suitable for both side channel and fault injection attacks.- On hardware implementation of tang-maitra boolean functions.- rapid hardware design for cryptographic modules with filtering structures over small finite fields.- Sequences with low correlation.- Vector-valued modular forms on finite upper half planes.- Normal basis exhaustive search.- On symmetry and differential properties of generalized boolean functions.- Characterizations of partially bent and plateaued functions over finite fields.- Codes of length two correcting single errors of limited size II.- Fractional jumps: complete characterisation and an explicit infinite family.- Some sextics of genera five and seven attaining the serre bound.- Direct constructions of (involutory) MDS matrices from block vandermonde and cauchy-like matrices.- Exploiting preprocessing for quantum search to break parameters for MQ cryptosystems.

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Details

  • ISBN-13: 9783030051525
  • ISBN-10: 3030051528
  • Publisher: Springer
  • Publish Date: December 2018
  • Dimensions: 9.21 x 6.14 x 0.67 inches
  • Shipping Weight: 0.99 pounds
  • Page Count: 309

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