数学的实践与认识
數學的實踐與認識
수학적실천여인식
MATHEMATICS IN PRACTICE AND THEORY
2009年
22期
140-147
,共8页
Bent序列%广义迹变换%两值自相关序列%有限域%线性复杂度
Bent序列%廣義跡變換%兩值自相關序列%有限域%線性複雜度
Bent서렬%엄의적변환%량치자상관서렬%유한역%선성복잡도
bent sequences%modified trace transform%two-level autocorrelation sequences%finite field%linear span
对已知的Bent序列集的构造方法作了研究,明确地给出了任一Bent序列集相关值的分配情况.同时,利用有限域上一类新的Bent函数,构造出了一类新的Bent序列集,给出了这类Bent序列的线性复杂度.
對已知的Bent序列集的構造方法作瞭研究,明確地給齣瞭任一Bent序列集相關值的分配情況.同時,利用有限域上一類新的Bent函數,構造齣瞭一類新的Bent序列集,給齣瞭這類Bent序列的線性複雜度.
대이지적Bent서렬집적구조방법작료연구,명학지급출료임일Bent서렬집상관치적분배정황.동시,이용유한역상일류신적Bent함수,구조출료일류신적Bent서렬집,급출료저류Bent서렬적선성복잡도.
The construction methods of Bent-function sequences are studied and the correlation distribution of Bent-function sequences is determined. A new class of binary bent-function sequences are constructed and the linear span of these sequences are also derived.
