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| RESEARCH ANNOUNCEMENTS On Multiplication Tables of Normal Bases and Their Dual-bases Over Finite Fields | |
| 作者姓名： | 廖群英 孙琦 |
| 作者单位： | The Mathematical Callege of Sichuan University，Sichuanl 610064，P.R.China The Mathematical and soft-Ware Scientific Callege of Sichuan Normal Universityl Sichuan，610064，P.R.Chin，The Mathematical Callege of Sichuan University，Sichuan，610064，P.R.China |
| 基金项目： | Supported by NSFC(No.10128103) |
| 摘 要： | Let q be a Power of a Prime P and n be a Positive integer,9 elements andF=凡二be the oth extension of K.N={a‘K=凡be the finite field with=o,1,…,。一1}15 a normalbasis of F over凡,wherea,== aq’,艺=o,1,…,n一1.VA,:F,letA二艺写、、,Blet咖B玄,几一11,一们乙,二o勺“j,a云,勺匕厂。,七henF望F望心T0(少一’.SoifA=(ao,…,a。一iB=(b0,…,纵一1),AB二C(e。,…,e。一:),thene‘=A,一‘)T,l=0,1,·‘口无,n一i,where几==(:{夕)15:iven by几一1。、。,一艺,{夕心一明任凡无=0On the other hand,T=(t‘,Ja=a价aQ… |
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