Mutual irreducibility of certain polynomials

被引:0
作者
Dewar, M [1 ]
Panario, D [1 ]
机构
[1] Carleton Univ, Dept Math & Stat, Ottawa, ON K1S 5B6, Canada
来源
FINITE FIELDS AND APPLICATIONS | 2004年 / 2948卷
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In a recent paper, Tsaban and Vishne (4] introduce linear transformation shift registers (TSRs) which generate sequences by an entire word with each iteration. The authors recently [1] proved that over F-2, irreducible TSRs occur in pairs. Now the results are generalized and extended for arbitrary finite fields. This aids in the search for irreducible TSRs.
引用
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页码:59 / 68
页数:10
相关论文
共 4 条
[1]   Linear transformation shift registers [J].
Dewar, M ;
Panario, D .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (08) :2047-2052
[2]  
FITZGERALD R, IRREDUCIBLE POLYNOMI
[3]  
Golomb S. W., 1982, SHIFT REGISTER SEQUE
[4]   Efficient linear feedback shift registers with maximal period [J].
Tsaban, B ;
Vishne, U .
FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (02) :256-267