On the crosscorrelation of sequences with the decimation factor \(d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}\)

DOI10.1007/s002000100073zbMath1015.94006OpenAlexW173850821MaRDI QIDQ5941759

Wolfgang Willems, Eva Nuria Müller, Z. Zhang, Wei Sun, Yi-Xian Yang, Zheng-Ming Hu, Xin Li, Donald Mills

Publication date: 26 August 2001

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000100073

zbMATH Keywords

quadratic formscross correlationdecimation factorlinear shift register sequence

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)

Related Items (6)

Three-weight ternary linear codes from a family of power functions ⋮ Further crosscorrelation properties of sequences with the decimation factor \({d=\frac{p^n+1}{p+1}-\frac{p^n-1}{2}}\) ⋮ Two-valued cross correlation distributions between binary \(m\) sequences and their decimation sequences ⋮ On cross-correlation of a binary \(m\)-sequence of period \(2^{2k}-1\) and its decimated sequences by \((2^{lk}+1)/(2^l+1)\) ⋮ The cross correlation distribution of a \(p\)-ary \(m\)-sequence of period \(p^m-1\) and its decimated sequences by \((p^k + 1)(p^m + 1) / 4\) ⋮ Some new classes of cyclic codes with three or six weights

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