数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2004年
1期
42-47
,共6页
迪卡尔认证码%反对称矩阵标准型%有限域
迪卡爾認證碼%反對稱矩陣標準型%有限域
적잡이인증마%반대칭구진표준형%유한역
cartesian authentication codes%normal form of antisymmetric matrices%finite field
利用有限域上反对称矩阵的标准型构作了一个迪卡尔认证码并计算出该码的所有参数. 进而,假定编码规则按照统一的概率分布所选取,该码的成功伪造与成功替换的最大概率PI与PS亦被计算出来.
利用有限域上反對稱矩陣的標準型構作瞭一箇迪卡爾認證碼併計算齣該碼的所有參數. 進而,假定編碼規則按照統一的概率分佈所選取,該碼的成功偽造與成功替換的最大概率PI與PS亦被計算齣來.
이용유한역상반대칭구진적표준형구작료일개적잡이인증마병계산출해마적소유삼수. 진이,가정편마규칙안조통일적개솔분포소선취,해마적성공위조여성공체환적최대개솔PI여PS역피계산출래.
In this paper, one construction of cartesian authentication codes from the normal form of antisymmetric matrices over finite fields are presented and its size parameters are computed. Moreover, assume that the encoding rules are chosen according to a uniform probability distribution, the PI and PS, which denote the largest probability of a successful impersonation attack and of a successful substitution attack respectively, of these codes are also computed.
