Trace representation of Legendre sequences
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Publication:5960288
DOI10.1023/A:1011287607979zbMath0991.94031MaRDI QIDQ5960288
Jeong-Heon Kim, Hong-Yeop Song
Publication date: 15 April 2002
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
balanced binary sequencescommunication systemsoptimal autocorrelationtrace representation of Legendre sequences
Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Special sequences and polynomials (11B83) Representation functions (11B34)
Related Items (8)
Trace representation and linear complexity of binary sequences derived from Fermat quotients ⋮ Sequences related to Legendre/Jacobi sequences ⋮ Elliptic curve analogue of Legendre sequences ⋮ Recursion polynomials of unfolded sequences ⋮ Trace representation of the binary \(pq^2\)-periodic sequences derived from Euler quotients ⋮ A trace representation of binary Jacobi sequences ⋮ Trace representation of Legendre sequences over non-binary fields ⋮ On the \(k\)-error linear complexity of binary sequences derived from the discrete logarithm in finite fields
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