p元d-型序列的三项式特性

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (36): 47-49.

p元d-型序列的三项式特性

王慧，崇金凤，卓泽朋

淮北师范大学数学科学学院，安徽淮北 235000

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-12-21 发布日期:2011-12-21

Trinomial property of p-ary d-form sequences

WANG Hui，CHONG Jinfeng，ZHUO Zepeng

School of Mathematical Science，Huaibei Normal University，Huaibei，Anhui 235000，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-12-21 Published:2011-12-21

摘要/Abstract

摘要： p为素数时，利用迹函数理论和有限域的性质对两类p元序列的三项式特性进行研究，研究结果表明，p元Kasami序列和d-型序列均具有正则三项式对，给出一种p元d-型序列的三项生成多项式的形式。

关键词: 三项式特性, p元d-型序列, Kasami序列, 正则三项式对

Abstract: For prime p，using trace function theories and finite fields the property of two kinds of sequences is investigated.It shows that p-ary Kasami sequences and d-form sequences have the regular trinomial pairs.The trinomial generated polynomial form of p-ary d-form sequences is given.

Key words: trinomial property, p-ary d-form sequences, Kasami sequences, regular trinomial pairs

王慧，崇金凤，卓泽朋. p元d-型序列的三项式特性[J]. 计算机工程与应用, 2011, 47(36): 47-49.

WANG Hui，CHONG Jinfeng，ZHUO Zepeng. Trinomial property of p-ary d-form sequences[J]. Computer Engineering and Applications, 2011, 47(36): 47-49.