On Constant Weight Sequences from Cyclic Difference Sets

カテゴリ: 部門大会

論文No: MC3-4

グループ名: 【C】平成22年電気学会電子・情報・システム部門大会講演論文集

発行日: 2010/09/02

タイトル(英語): On Constant Weight Sequences from Cyclic Difference Sets

著者名: Takayasu Kaida(Kinki University),Junru Zheng(Kyushu Women's University)

著者名(英語): Takayasu kaida(Kinki University),Junru Zheng(Kyushu Women's University)

キーワード: 定重み系列|巡回差集合|線形複雑度|頻度分布|constant weight sequence|cyclic difference set|linear complexity|value distribution

要約(日本語): We proposed a method for consnructing q-ary constant weight sequences from the cyclic difference set by generalization of the method in binary case proposed by N.Li, X.Zeng and L.Hu in 2008. It was shown that a set of constant weight sequences over Z₅ with period 21 from the (21,5,1)-planar(cyclic) difference set has almost highest linear complexities and good profiles of their linear complexities. In this paper we investigate the value distributions and the linear complexity of sequences with period 57 over GF(8) from the (57,8,1)-planar difference set. It is pointed out that this set of periodic sequences also has good properties in similar to the previous set of sequences over Z₅ with period 21.

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