计算机工程
計算機工程
계산궤공정
COMPUTER ENGINEERING
2014年
1期
158-160
,共3页
有限域%迹函数%级联No序列%三项式特性%正则三项式对%No序列
有限域%跡函數%級聯No序列%三項式特性%正則三項式對%No序列
유한역%적함수%급련No서렬%삼항식특성%정칙삼항식대%No서렬
finite field%trace function%cascaded No sequences%trinomial property%regular trinomial pairs%No sequences
利用有限域 GF(2n)到其子域 GF(2m)上的迹函数及其性质，研究一类非陑性扩频序列的密码学性质，即级联 No 序列的三项式特性。给出级联No序列的三项生成多项式的形式，将级联No序列三项式特性的结论应用到二元No序列中，解决了二元No序列的三项式特性问题。分析结果表明，级联No序列不仅具有三项式对，而且具有正则三项式对。
利用有限域 GF(2n)到其子域 GF(2m)上的跡函數及其性質，研究一類非陑性擴頻序列的密碼學性質，即級聯 No 序列的三項式特性。給齣級聯No序列的三項生成多項式的形式，將級聯No序列三項式特性的結論應用到二元No序列中，解決瞭二元No序列的三項式特性問題。分析結果錶明，級聯No序列不僅具有三項式對，而且具有正則三項式對。
이용유한역 GF(2n)도기자역 GF(2m)상적적함수급기성질，연구일류비이성확빈서렬적밀마학성질，즉급련 No 서렬적삼항식특성。급출급련No서렬적삼항생성다항식적형식，장급련No서렬삼항식특성적결론응용도이원No서렬중，해결료이원No서렬적삼항식특성문제。분석결과표명，급련No서렬불부구유삼항식대，이차구유정칙삼항식대。
By the trace function from the field GF(2n) to the subfield GF(2m), the cryptographic property of a class of nonlinear spreading sequences is considered, that is the trinomial property of the cascaded No sequences. And the trinomial form of the cascaded No sequences is given. Binary No sequences have the same trinomial property from the derived conclusions, trinomial property problem of binary No sequences is solved. Analysis results show that the cascaded No sequences not only have the regular trinomial pairs, but also have regular trinomial pairs.
