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authorsiddharth <s@ricketyspace.net>2022-04-11 20:03:08 -0400
committersiddharth <s@ricketyspace.net>2022-04-11 20:03:08 -0400
commit8e1700059a73f7090528194fab0b36751d6d1693 (patch)
tree09960e62ffbc4b2f2dcaf145d615af7a1ba2dacb /lib
parentf613d9d03211efed74dcc9e5674f7eb8d9a94325 (diff)
lib: add srp session key functions
Diffstat (limited to 'lib')
-rw-r--r--lib/srp.go77
-rw-r--r--lib/srp_test.go87
2 files changed, 164 insertions, 0 deletions
diff --git a/lib/srp.go b/lib/srp.go
index 2303793..a7f14e1 100644
--- a/lib/srp.go
+++ b/lib/srp.go
@@ -199,6 +199,30 @@ func (u *SRPUser) SetScramblingParam(a *big.Int) error {
return nil
}
+func (u *SRPUser) ComputeSessionKey(a *big.Int) error {
+ if a.Cmp(big.NewInt(0)) != 1 {
+ return CPError{"a is invalid"}
+ }
+
+ // v^u
+ vu := new(big.Int)
+ vu.Exp(u.v, u.u, u.n)
+
+ // S = (A * v^u) ^ b
+ s := new(big.Int)
+ s.Mul(a, vu)
+ s.Exp(s, u.b, u.n)
+ sb := s.Bytes()
+
+ // K = H(S)
+ m := make([]byte, 0)
+ m = append(m, sb...)
+ u.h.Message(m)
+ u.sk = u.h.Hash()
+
+ return nil
+}
+
func NewSRPClientSession(n, g, k, ident string) (*SRPClientSession, error) {
var ok bool
@@ -270,3 +294,56 @@ func (s *SRPClientSession) SetScramblingParam(b *big.Int) error {
}
return nil
}
+
+func (s *SRPClientSession) ComputeSessionKey(salt []byte,
+ pass string, b *big.Int) error {
+ if len(salt) < 1 {
+ return CPError{"salt invalid"}
+ }
+ if len(pass) < 1 {
+ return CPError{"pass invalid"}
+ }
+
+ // salt+pass
+ sp := make([]byte, 0)
+ copy(sp, salt)
+ sp = append(sp, StrToBytes(pass)...)
+
+ // x = H(salt+pass)
+ x := new(big.Int)
+ s.h.Message(sp)
+ x.SetBytes(s.h.Hash())
+
+ // g^x
+ gx := new(big.Int)
+ gx.Exp(s.g, x, s.n)
+
+ // k * g^x
+ kgx := new(big.Int)
+ kgx.Mul(s.k, gx)
+
+ // B - (k * g^x)
+ bkgx := new(big.Int)
+ bkgx.Sub(b, kgx)
+
+ // u * x
+ ux := new(big.Int)
+ ux.Mul(s.u, x)
+
+ // a + u*x
+ aux := new(big.Int)
+ aux.Add(s.a, ux)
+
+ // S = (B - (k * g^x)) ^ (a + u*x)
+ sec := new(big.Int)
+ sec.Exp(bkgx, aux, s.n)
+ sb := sec.Bytes()
+
+ // K = H(S)
+ m := make([]byte, 0)
+ m = append(m, sb...)
+ s.h.Message(m)
+ s.sk = s.h.Hash()
+
+ return nil
+}
diff --git a/lib/srp_test.go b/lib/srp_test.go
index a819b15..1445e01 100644
--- a/lib/srp_test.go
+++ b/lib/srp_test.go
@@ -248,3 +248,90 @@ func TestSRPScramblingParamter(t *testing.T) {
return
}
}
+
+func TestSRPSessionKey(t *testing.T) {
+ n := StripSpaceChars(
+ `ffffffffffffffffc90fdaa22168c234c4c6628b80dc1cd129024
+ e088a67cc74020bbea63b139b22514a08798e3404ddef9519b3cd
+ 3a431b302b0a6df25f14374fe1356d6d51c245e485b576625e7ec
+ 6f44c42e9a637ed6b0bff5cb6f406b7edee386bfb5a899fa5ae9f
+ 24117c4b1fe649286651ece45b3dc2007cb8a163bf0598da48361
+ c55d39a69163fa8fd24cf5f83655d23dca3ad961c62f356208552
+ bb9ed529077096966d670c354e4abc9804f1746c08ca237327fff
+ fffffffffffff`)
+ g := "2"
+ k := "3"
+ ident := "s@ricketyspace.net"
+ pass := "d59d6c93af0f37f272d924979"
+
+ // Init srp server user.
+ user, err := NewSRPUser(n, g, k, ident, pass)
+ if err != nil {
+ t.Errorf("unable to create user on server: %v\n", err)
+ return
+ }
+
+ // Get server's pub for user.
+ user.EphemeralKeyGen()
+ pubB, err := user.EphemeralKeyPub()
+ if err != nil {
+ t.Errorf("server ephemeral pub error: %v\n", err)
+ return
+ }
+
+ // Init srp client session.
+ session, err := NewSRPClientSession(n, g, k, ident)
+ if err != nil {
+ t.Errorf("unable to create client session: %v\n", err)
+ return
+ }
+
+ // Get client's pub for user.
+ pubA, err := session.EphemeralKeyPub()
+ if err != nil {
+ t.Errorf("client ephemeral pub error: %v\n", err)
+ return
+ }
+
+ // Compute server's scrambling parameter for user.
+ err = user.SetScramblingParam(pubA)
+ if err != nil {
+ t.Errorf("unable generate server scrambling parameter: %v\n", err)
+ return
+ }
+
+ // Compute client's scrambling paramter for user.
+ err = session.SetScramblingParam(pubB)
+ if err != nil {
+ t.Errorf("unable generate client scrambling parameter: %v\n", err)
+ return
+ }
+
+ // The server's and client's scrambling parameter must be the
+ // same.
+ if user.u.Cmp(session.u) != 0 {
+ t.Error("Error: scrambling parameter of server != client\n")
+ return
+ }
+
+ // Compute server's session key for user.
+ err = user.ComputeSessionKey(pubA)
+ if err != nil {
+ t.Errorf("unable to compute server's session key: %v", err)
+ return
+ }
+
+ // Compute client's session key for for user.
+ err = session.ComputeSessionKey(user.salt, pass, pubB)
+ if err != nil {
+ t.Errorf("unable to compute client's session key: %v", err)
+ return
+ }
+
+ // Verify that the session key is the same.
+ if !BytesEqual(user.sk, session.sk) {
+ t.Errorf("server's and client's session key not equal:"+
+ " server_sk(%v): client_sk(%v)", user.sk, session.sk)
+ return
+ }
+}