SHA-1

1 General Description

SHA-1 is an iterated hash function. It can be used to compute a 160-bit hash value for messages having a length of less than bits, cf. FIPS 180-2 Secure Hash Standard. As most iterated hash functions, SHA-1 applies MD strengthening.

1.1 Compression Function

The compression function processes input message blocks of 512 bits and produces a 160-bit chaining value. The compression function of SHA-1 basically consists of two parts: the message expansion and the state update transformation. The chaining variable (iv in the first iteration) is added to the output of the state update transformation (feed forward).

The SHA-1 compression function

1.1.1 Message Expansion

In SHA-1, the message expansion is defined as follows. A single 512-bit input message block block is represented by 16 32-bit words, denoted by <math>M_i</math>, with <math>0 \leq i \leq 15</math>. The message input is linearly expanded into 80 32-bit words <math>W_i</math> defined as follows:

1.1.2 State Update Transformation

1.3 Constantsand Initial Value

1.3.1 Constants

1.3.2 Initial Value

3 Security Anaylsis

• Best know attack: by Wang et.al.
• Best known collision example: 64-step collision by De Canniere and Rechberger

something like: best know attack to date: kind of attack, which variant has been looked at (e.g. round-reduced), complexity, and reference to paper and abstract.

may be make here a new page with the other cryptanalysis results.

• [Detailed overview of cryptanalysis results]