On the Cross-Correlation of a $p$-Ary ${m}$-Sequence of Period $p^{2m}-1$ and Its Decimated Sequences by $ {{ (p^{m}+1)^{2}}/ { 2(p+1)}}$

DOI10.1109/TIT.2011.2177573zbMath1365.94375OpenAlexW2199002022MaRDI QIDQ5272077

Taehyung J. Lim, Habong Chung, Jong-Seon No, Sung-Tai Choi

Publication date: 12 July 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2011.2177573

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Sequences (mod (m)) (11B50)

Related Items (6)

On the exact number of solutions of certain linearized equations ⋮ A new nonbinary sequence family with low correlation and large size ⋮ 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 \((p^k + 1)(p^m + 1) / 4\) ⋮ A class of binary cyclic codes and sequence families ⋮ Some new results on cross correlation of \(p\)-ary \(m\)-sequence and its decimated sequence

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