Cross-Correlation Distribution of $p$-ary $m$-Sequence of Period $p^{4k}-1$ and Its Decimated Sequences by $\left({{ p^{2k}+1}\over { 2}}\right)^{2}$

DOI10.1109/TIT.2008.924694zbMath1328.94059MaRDI QIDQ3604486

Dong-Joon Shin, Eun-Young Seo, Young Sik Kim, Jong-Seon No

Publication date: 24 February 2009

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

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)

Related Items (7)

A survey on the applications of Niho exponents ⋮ A class of power functions with four-valued Walsh transform and related cyclic codes ⋮ 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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