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The following explains various terms in this object and some of the abbreviations used: { M } K represents the encryption of some message /
The following explains various terms in this object and some of the abbreviations used: MK represents the encryption of some messagedata M using the key K MK represents the digital signing of some messagedata M using the key K NX represents a nonce ie a fresh and possibly random number used once only generated by X KpbX represents the public part of the key pair presumably owned by X KprX represents the private part of the key pair presumably owned by X KAB represents a symmetric key shared between A and B K or K K K etc. represents some arbitrary key with no assumptions about its scope M represents some alphanumerictextual message with no assumptions G G G etc. are prime numbers which one of the following sets of keys, nonces, prime numbers, and alphanumerictextual messages best represents Bs knowledge, after B applies any number of possible cryptographic operations to the object above, and assuming that B already has access to key K and the public key of any agent: a KBS G KPrB bKPbBKPrS mod KPbS G KBS KPrB KPbBKPrS mod KPbSK NA NB c NA NB d NA NB KBS KPrB eKPbBKPrS mod KPbSKNB NAKKPbB NSGKPrA mod NAKGKPbAKPrS mod KPbS GKKPrBKPrA NA NB KBS KPrB KPbBKPrS mod KPbS f G NA NB G KBS KPrB gKPbBKPrS mod KPbS NA NB G KBS KPrB hKPbBKPrS mod KPbS GKPrA mod NA NA NB G KBS KPrB iKPbBKPrS mod KPbS G G KBS KPrB jKPbBKPrS mod KPbS NA NB G KBS KPrB GKPbAKPrS mod KPbS k NB
The following explains various terms in this object and some of the abbreviations used:
MK represents the encryption of some messagedata M using the key K
MK represents the digital signing of some messagedata M using the key K NX represents a nonce ie a fresh and possibly random number used once only generated by X
KpbX represents the public part of the key pair presumably owned by X
KprX represents the private part of the key pair presumably owned by X
KAB represents a symmetric key shared between A and B
K or K K K etc. represents some arbitrary key with no assumptions about its scope
M represents some alphanumerictextual message with no assumptions G G G etc. are prime numbers
which one of the following sets of keys, nonces, prime numbers, and alphanumerictextual messages best represents Bs knowledge, after B applies any number of possible cryptographic operations to the object above, and assuming that B already has access to key K and the public key of any agent:
a KBS G KPrB
bKPbBKPrS mod KPbS G KBS KPrB KPbBKPrS mod KPbSK NA
NB
c NA NB
d NA NB KBS KPrB
eKPbBKPrS mod KPbSKNB NAKKPbB NSGKPrA mod
NAKGKPbAKPrS mod KPbS GKKPrBKPrA NA NB KBS
KPrB KPbBKPrS mod KPbS
f G NA NB G KBS KPrB
gKPbBKPrS mod KPbS NA NB G KBS KPrB
hKPbBKPrS mod KPbS GKPrA mod NA NA NB G KBS KPrB
iKPbBKPrS mod KPbS G G KBS KPrB
jKPbBKPrS mod KPbS NA NB G KBS KPrB GKPbAKPrS mod
KPbS
k NB
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