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1 SipHash - a short input PRF
2 -----------------------------------------------
3 Written by Jason A. Donenfeld <jason@zx2c4.com>
4
5 SipHash is a cryptographically secure PRF -- a keyed hash function -- that
6 performs very well for short inputs, hence the name. It was designed by
7 cryptographers Daniel J. Bernstein and Jean-Philippe Aumasson. It is intended
8 as a replacement for some uses of: `jhash`, `md5_transform`, `sha_transform`,
9 and so forth.
10
11 SipHash takes a secret key filled with randomly generated numbers and either
12 an input buffer or several input integers. It spits out an integer that is
13 indistinguishable from random. You may then use that integer as part of secure
14 sequence numbers, secure cookies, or mask it off for use in a hash table.
15
16 1. Generating a key
17
18 Keys should always be generated from a cryptographically secure source of
19 random numbers, either using get_random_bytes or get_random_once:
20
21 siphash_key_t key;
22 get_random_bytes(&key, sizeof(key));
23
24 If you're not deriving your key from here, you're doing it wrong.
25
26 2. Using the functions
27
28 There are two variants of the function, one that takes a list of integers, and
29 one that takes a buffer:
30
31 u64 siphash(const void *data, size_t len, const siphash_key_t *key);
32
33 And:
34
35 u64 siphash_1u64(u64, const siphash_key_t *key);
36 u64 siphash_2u64(u64, u64, const siphash_key_t *key);
37 u64 siphash_3u64(u64, u64, u64, const siphash_key_t *key);
38 u64 siphash_4u64(u64, u64, u64, u64, const siphash_key_t *key);
39 u64 siphash_1u32(u32, const siphash_key_t *key);
40 u64 siphash_2u32(u32, u32, const siphash_key_t *key);
41 u64 siphash_3u32(u32, u32, u32, const siphash_key_t *key);
42 u64 siphash_4u32(u32, u32, u32, u32, const siphash_key_t *key);
43
44 If you pass the generic siphash function something of a constant length, it
45 will constant fold at compile-time and automatically choose one of the
46 optimized functions.
47
48 3. Hashtable key function usage:
49
50 struct some_hashtable {
51 DECLARE_HASHTABLE(hashtable, 8);
52 siphash_key_t key;
53 };
54
55 void init_hashtable(struct some_hashtable *table)
56 {
57 get_random_bytes(&table->key, sizeof(table->key));
58 }
59
60 static inline hlist_head *some_hashtable_bucket(struct some_hashtable *table, struct interesting_input *input)
61 {
62 return &table->hashtable[siphash(input, sizeof(*input), &table->key) & (HASH_SIZE(table->hashtable) - 1)];
63 }
64
65 You may then iterate like usual over the returned hash bucket.
66
67 4. Security
68
69 SipHash has a very high security margin, with its 128-bit key. So long as the
70 key is kept secret, it is impossible for an attacker to guess the outputs of
71 the function, even if being able to observe many outputs, since 2^128 outputs
72 is significant.
73
74 Linux implements the "2-4" variant of SipHash.
75
76 5. Struct-passing Pitfalls
77
78 Often times the XuY functions will not be large enough, and instead you'll
79 want to pass a pre-filled struct to siphash. When doing this, it's important
80 to always ensure the struct has no padding holes. The easiest way to do this
81 is to simply arrange the members of the struct in descending order of size,
82 and to use offsetendof() instead of sizeof() for getting the size. For
83 performance reasons, if possible, it's probably a good thing to align the
84 struct to the right boundary. Here's an example:
85
86 const struct {
87 struct in6_addr saddr;
88 u32 counter;
89 u16 dport;
90 } __aligned(SIPHASH_ALIGNMENT) combined = {
91 .saddr = *(struct in6_addr *)saddr,
92 .counter = counter,
93 .dport = dport
94 };
95 u64 h = siphash(&combined, offsetofend(typeof(combined), dport), &secret);
96
97 6. Resources
98
99 Read the SipHash paper if you're interested in learning more:
100 https://131002.net/siphash/siphash.pdf
101
102
103 ~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~=~
104
105 HalfSipHash - SipHash's insecure younger cousin
106 -----------------------------------------------
107 Written by Jason A. Donenfeld <jason@zx2c4.com>
108
109 On the off-chance that SipHash is not fast enough for your needs, you might be
110 able to justify using HalfSipHash, a terrifying but potentially useful
111 possibility. HalfSipHash cuts SipHash's rounds down from "2-4" to "1-3" and,
112 even scarier, uses an easily brute-forcable 64-bit key (with a 32-bit output)
113 instead of SipHash's 128-bit key. However, this may appeal to some
114 high-performance `jhash` users.
115
116 Danger!
117
118 Do not ever use HalfSipHash except for as a hashtable key function, and only
119 then when you can be absolutely certain that the outputs will never be
120 transmitted out of the kernel. This is only remotely useful over `jhash` as a
121 means of mitigating hashtable flooding denial of service attacks.
122
123 1. Generating a key
124
125 Keys should always be generated from a cryptographically secure source of
126 random numbers, either using get_random_bytes or get_random_once:
127
128 hsiphash_key_t key;
129 get_random_bytes(&key, sizeof(key));
130
131 If you're not deriving your key from here, you're doing it wrong.
132
133 2. Using the functions
134
135 There are two variants of the function, one that takes a list of integers, and
136 one that takes a buffer:
137
138 u32 hsiphash(const void *data, size_t len, const hsiphash_key_t *key);
139
140 And:
141
142 u32 hsiphash_1u32(u32, const hsiphash_key_t *key);
143 u32 hsiphash_2u32(u32, u32, const hsiphash_key_t *key);
144 u32 hsiphash_3u32(u32, u32, u32, const hsiphash_key_t *key);
145 u32 hsiphash_4u32(u32, u32, u32, u32, const hsiphash_key_t *key);
146
147 If you pass the generic hsiphash function something of a constant length, it
148 will constant fold at compile-time and automatically choose one of the
149 optimized functions.
150
151 3. Hashtable key function usage:
152
153 struct some_hashtable {
154 DECLARE_HASHTABLE(hashtable, 8);
155 hsiphash_key_t key;
156 };
157
158 void init_hashtable(struct some_hashtable *table)
159 {
160 get_random_bytes(&table->key, sizeof(table->key));
161 }
162
163 static inline hlist_head *some_hashtable_bucket(struct some_hashtable *table, struct interesting_input *input)
164 {
165 return &table->hashtable[hsiphash(input, sizeof(*input), &table->key) & (HASH_SIZE(table->hashtable) - 1)];
166 }
167
168 You may then iterate like usual over the returned hash bucket.
169
170 4. Performance
171
172 HalfSipHash is roughly 3 times slower than JenkinsHash. For many replacements,
173 this will not be a problem, as the hashtable lookup isn't the bottleneck. And
174 in general, this is probably a good sacrifice to make for the security and DoS
175 resistance of HalfSipHash.