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ABSTRAKFungsi bilinear merupakan suatu fungsi yang berbentuk 𝑒: 𝑉 × 𝑉 → 𝐹, dengan 𝑉
adalah ruang vektor atas lapangan 𝐹 yang bersifat linear. Pada implementasinya,
fungsi bilinear dapat diterapkan pada skema kriptografi. Kriptografi didefinisikan
sebagai ilmu yang berkaitan dengan aspek keamanan informasi, seperti
kerahasiaan, keutuhan data, otentikasi entitas dan otentikasi sumber data, dengan
menggunakan teknik-teknik matematika. Salah satu skema kriptografi yang
menggunakan fungsi bilinear adalah skema yang berkaitan dengan otentikasi
sumber data, yaitu Tanda Tangan Agregat Tanpa Sertifikat (Certificateless
Aggregate Signature). Pada penelitian ini akan dibahas skema Tanda Tangan
Agregat Tanpa Sertifikat (T2ATS) yang diajukan oleh Liu dkk pada tahun 2014
serta sifat/karakteristik dari fungsi bilinear yang harus dipenuhi guna menjamin
keamanan dari skema kriptografi, khususnya skema T2ATS. Hasil dari penelitian
ini menunjukkan bahwa fungsi bilinear yang digunakan pada skema T2ATS harus
menggunakan domain dan kodomain yang memenuhi masalah logaritma diskrit
(Discrete Logarithm Problem). Selain itu, penelitian ini juga akan menerapkan
salah satu varian fungsi bilinear, yaitu fungsi weil pairing pada skema T2ATS.
ABSTRACTBilinear map is a linear function that in form e: V × V → F, where V is a vector
space over field F. Bilinear map can be used in cryptographic scheme.
Cryptography is the study of mathematical techniques related to aspects of
information security such as confidentiality, data integrity, entity authentication,
and data origin authentication. An example of bilinear map implementation used in
cryptographic scheme is Certificateless Aggregate Signature (CLAS). CLAS is a
cryptographic scheme related to data origin authentication. This research will
describe CLAS scheme proposed by Liu et.al (2014) and bilinear map properties
hold to ensure security of this scheme. The result of this paper show that domain
and codomain of bilinear map used in CLAS scheme should meet Discrete
Logarithm Problem. This research also implement weil pairing as one of bilinear
function commonly used in cryptography on CLAS scheme;Bilinear map is a linear function that in form e: V × V → F, where V is a vector
space over field F. Bilinear map can be used in cryptographic scheme.
Cryptography is the study of mathematical techniques related to aspects of
information security such as confidentiality, data integrity, entity authentication,
and data origin authentication. An example of bilinear map implementation used in
cryptographic scheme is Certificateless Aggregate Signature (CLAS). CLAS is a
cryptographic scheme related to data origin authentication. This research will
describe CLAS scheme proposed by Liu et.al (2014) and bilinear map properties
hold to ensure security of this scheme. The result of this paper show that domain
and codomain of bilinear map used in CLAS scheme should meet Discrete
Logarithm Problem. This research also implement weil pairing as one of bilinear
function commonly used in cryptography on CLAS scheme, Bilinear map is a linear function that in form e: V × V → F, where V is a vector
space over field F. Bilinear map can be used in cryptographic scheme.
Cryptography is the study of mathematical techniques related to aspects of
information security such as confidentiality, data integrity, entity authentication,
and data origin authentication. An example of bilinear map implementation used in
cryptographic scheme is Certificateless Aggregate Signature (CLAS). CLAS is a
cryptographic scheme related to data origin authentication. This research will
describe CLAS scheme proposed by Liu et.al (2014) and bilinear map properties
hold to ensure security of this scheme. The result of this paper show that domain
and codomain of bilinear map used in CLAS scheme should meet Discrete
Logarithm Problem. This research also implement weil pairing as one of bilinear
function commonly used in cryptography on CLAS scheme]