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Legendre sums and codes related to QR codes

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Publication:1183331
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DOI10.1016/0166-218X(92)90035-9zbMath0747.94017MaRDI QIDQ1183331

Tor Helleseth

Publication date: 28 June 1992

Published in: Discrete Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

weightquadratic residue codescirculant codesLegendre sum


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Other character sums and Gauss sums (11T24) Cyclic codes (94B15)


Related Items (2)

Unnamed Item ⋮ Generalizing binary quadratic residue codes to higher power residues over larger fields




Cites Work

  • Unnamed Item
  • Unnamed Item
  • The distribution of quadratic residues and non‐residues
  • The number of solutions of a special system of equations in a finite field
  • New binary coding results by circulants
  • Some Identities on the Character Sum Containing x(x - 1)(x - λ)




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