1 /**
2  * \file lms.h
3  *
4  * \brief This file provides an API for the LMS post-quantum-safe stateful-hash
5           public-key signature scheme as defined in RFC8554 and NIST.SP.200-208.
6  *        This implementation currently only supports a single parameter set
7  *        MBEDTLS_LMS_SHA256_M32_H10 in order to reduce complexity. This is one
8  *        of the signature schemes recommended by the IETF draft SUIT standard
9  *        for IOT firmware upgrades (RFC9019).
10  */
11 /*
12  *  Copyright The Mbed TLS Contributors
13  *  SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
14  */
15 #ifndef MBEDTLS_LMS_H
16 #define MBEDTLS_LMS_H
17 
18 #include <stdint.h>
19 #include <stddef.h>
20 
21 #include "mbedtls/private_access.h"
22 #include "mbedtls/build_info.h"
23 
24 #define MBEDTLS_ERR_LMS_BAD_INPUT_DATA   -0x0011 /**< Bad data has been input to an LMS function */
25 #define MBEDTLS_ERR_LMS_OUT_OF_PRIVATE_KEYS -0x0013 /**< Specified LMS key has utilised all of its private keys */
26 #define MBEDTLS_ERR_LMS_VERIFY_FAILED    -0x0015 /**< LMS signature verification failed */
27 #define MBEDTLS_ERR_LMS_ALLOC_FAILED     -0x0017 /**< LMS failed to allocate space for a private key */
28 #define MBEDTLS_ERR_LMS_BUFFER_TOO_SMALL -0x0019 /**< Input/output buffer is too small to contain requited data */
29 
30 /* Currently only defined for SHA256, 32 is the max hash output size */
31 #define MBEDTLS_LMOTS_N_HASH_LEN_MAX           (32u)
32 #define MBEDTLS_LMOTS_P_SIG_DIGIT_COUNT_MAX    (34u)
33 #define MBEDTLS_LMOTS_N_HASH_LEN(type)         ((type) == MBEDTLS_LMOTS_SHA256_N32_W8 ? 32u : 0)
34 #define MBEDTLS_LMOTS_I_KEY_ID_LEN             (16u)
35 #define MBEDTLS_LMOTS_Q_LEAF_ID_LEN            (4u)
36 #define MBEDTLS_LMOTS_TYPE_LEN                 (4u)
37 #define MBEDTLS_LMOTS_P_SIG_DIGIT_COUNT(type)  ((type) == MBEDTLS_LMOTS_SHA256_N32_W8 ? 34u : 0)
38 #define MBEDTLS_LMOTS_C_RANDOM_VALUE_LEN(type) (MBEDTLS_LMOTS_N_HASH_LEN(type))
39 
40 #define MBEDTLS_LMOTS_SIG_LEN(type) (MBEDTLS_LMOTS_TYPE_LEN + \
41                                      MBEDTLS_LMOTS_C_RANDOM_VALUE_LEN(type) + \
42                                      (MBEDTLS_LMOTS_P_SIG_DIGIT_COUNT(type) * \
43                                       MBEDTLS_LMOTS_N_HASH_LEN(type)))
44 
45 
46 #define MBEDTLS_LMS_TYPE_LEN            (4)
47 #define MBEDTLS_LMS_H_TREE_HEIGHT(type) ((type) == MBEDTLS_LMS_SHA256_M32_H10 ? 10u : 0)
48 
49 /* The length of a hash output, Currently only implemented for SHA256.
50  * Max is 32 bytes.
51  */
52 #define MBEDTLS_LMS_M_NODE_BYTES(type) ((type) == MBEDTLS_LMS_SHA256_M32_H10 ? 32 : 0)
53 #define MBEDTLS_LMS_M_NODE_BYTES_MAX 32
54 
55 #define MBEDTLS_LMS_SIG_LEN(type, otstype) (MBEDTLS_LMOTS_Q_LEAF_ID_LEN + \
56                                             MBEDTLS_LMOTS_SIG_LEN(otstype) + \
57                                             MBEDTLS_LMS_TYPE_LEN + \
58                                             (MBEDTLS_LMS_H_TREE_HEIGHT(type) * \
59                                              MBEDTLS_LMS_M_NODE_BYTES(type)))
60 
61 #define MBEDTLS_LMS_PUBLIC_KEY_LEN(type) (MBEDTLS_LMS_TYPE_LEN + \
62                                           MBEDTLS_LMOTS_TYPE_LEN + \
63                                           MBEDTLS_LMOTS_I_KEY_ID_LEN + \
64                                           MBEDTLS_LMS_M_NODE_BYTES(type))
65 
66 
67 #ifdef __cplusplus
68 extern "C" {
69 #endif
70 
71 /** The Identifier of the LMS parameter set, as per
72  * https://www.iana.org/assignments/leighton-micali-signatures/leighton-micali-signatures.xhtml
73  * We are only implementing a subset of the types, particularly H10, for the sake of simplicity.
74  */
75 typedef enum {
76     MBEDTLS_LMS_SHA256_M32_H10 = 0x6,
77 } mbedtls_lms_algorithm_type_t;
78 
79 /** The Identifier of the LMOTS parameter set, as per
80  *  https://www.iana.org/assignments/leighton-micali-signatures/leighton-micali-signatures.xhtml.
81  *  We are only implementing a subset of the types, particularly N32_W8, for the sake of simplicity.
82  */
83 typedef enum {
84     MBEDTLS_LMOTS_SHA256_N32_W8 = 4
85 } mbedtls_lmots_algorithm_type_t;
86 
87 /** LMOTS parameters structure.
88  *
89  * This contains the metadata associated with an LMOTS key, detailing the
90  * algorithm type, the key ID, and the leaf identifier should be key be part of
91  * a LMS key.
92  */
93 typedef struct {
94     unsigned char MBEDTLS_PRIVATE(I_key_identifier[MBEDTLS_LMOTS_I_KEY_ID_LEN]); /*!< The key
95                                                                                     identifier. */
96     unsigned char MBEDTLS_PRIVATE(q_leaf_identifier[MBEDTLS_LMOTS_Q_LEAF_ID_LEN]); /*!< Which
97                                                                                       leaf of the LMS key this is.
98                                                                                       0 if the key is not part of an LMS key. */
99     mbedtls_lmots_algorithm_type_t MBEDTLS_PRIVATE(type); /*!< The LM-OTS key type identifier as
100                                                                per IANA. Only SHA256_N32_W8 is
101                                                                currently supported. */
102 } mbedtls_lmots_parameters_t;
103 
104 /** LMOTS public context structure.
105  *
106  * A LMOTS public key is a hash output, and the applicable parameter set.
107  *
108  * The context must be initialized before it is used. A public key must either
109  * be imported or generated from a private context.
110  *
111  * \dot
112  * digraph lmots_public_t {
113  *   UNINITIALIZED -> INIT [label="init"];
114  *   HAVE_PUBLIC_KEY -> INIT [label="free"];
115  *   INIT -> HAVE_PUBLIC_KEY [label="import_public_key"];
116  *   INIT -> HAVE_PUBLIC_KEY [label="calculate_public_key from private key"];
117  *   HAVE_PUBLIC_KEY -> HAVE_PUBLIC_KEY [label="export_public_key"];
118  * }
119  * \enddot
120  */
121 typedef struct {
122     mbedtls_lmots_parameters_t MBEDTLS_PRIVATE(params);
123     unsigned char MBEDTLS_PRIVATE(public_key)[MBEDTLS_LMOTS_N_HASH_LEN_MAX];
124     unsigned char MBEDTLS_PRIVATE(have_public_key); /*!< Whether the context contains a public key.
125                                                        Boolean values only. */
126 } mbedtls_lmots_public_t;
127 
128 #if defined(MBEDTLS_LMS_PRIVATE)
129 /** LMOTS private context structure.
130  *
131  * A LMOTS private key is one hash output for each of digit of the digest +
132  * checksum, and the applicable parameter set.
133  *
134  * The context must be initialized before it is used. A public key must either
135  * be imported or generated from a private context.
136  *
137  * \dot
138  * digraph lmots_public_t {
139  *   UNINITIALIZED -> INIT [label="init"];
140  *   HAVE_PRIVATE_KEY -> INIT [label="free"];
141  *   INIT -> HAVE_PRIVATE_KEY [label="generate_private_key"];
142  *   HAVE_PRIVATE_KEY -> INIT [label="sign"];
143  * }
144  * \enddot
145  */
146 typedef struct {
147     mbedtls_lmots_parameters_t MBEDTLS_PRIVATE(params);
148     unsigned char MBEDTLS_PRIVATE(private_key)[MBEDTLS_LMOTS_P_SIG_DIGIT_COUNT_MAX][
149         MBEDTLS_LMOTS_N_HASH_LEN_MAX];
150     unsigned char MBEDTLS_PRIVATE(have_private_key); /*!< Whether the context contains a private key.
151                                                         Boolean values only. */
152 } mbedtls_lmots_private_t;
153 #endif /* defined(MBEDTLS_LMS_PRIVATE) */
154 
155 
156 /** LMS parameters structure.
157  *
158  * This contains the metadata associated with an LMS key, detailing the
159  * algorithm type, the type of the underlying OTS algorithm, and the key ID.
160  */
161 typedef struct {
162     unsigned char MBEDTLS_PRIVATE(I_key_identifier[MBEDTLS_LMOTS_I_KEY_ID_LEN]); /*!< The key
163                                                                                     identifier. */
164     mbedtls_lmots_algorithm_type_t MBEDTLS_PRIVATE(otstype); /*!< The LM-OTS key type identifier as
165                                                                 per IANA. Only SHA256_N32_W8 is
166                                                                 currently supported. */
167     mbedtls_lms_algorithm_type_t MBEDTLS_PRIVATE(type); /*!< The LMS key type identifier as per
168                                                              IANA. Only SHA256_M32_H10 is currently
169                                                              supported. */
170 } mbedtls_lms_parameters_t;
171 
172 /** LMS public context structure.
173  *
174  * A LMS public key is the hash output that is the root of the Merkle tree, and
175  * the applicable parameter set
176  *
177  * The context must be initialized before it is used. A public key must either
178  * be imported or generated from a private context.
179  *
180  * \dot
181  * digraph lms_public_t {
182  *   UNINITIALIZED -> INIT [label="init"];
183  *   HAVE_PUBLIC_KEY -> INIT [label="free"];
184  *   INIT -> HAVE_PUBLIC_KEY [label="import_public_key"];
185  *   INIT -> HAVE_PUBLIC_KEY [label="calculate_public_key from private key"];
186  *   HAVE_PUBLIC_KEY -> HAVE_PUBLIC_KEY [label="export_public_key"];
187  * }
188  * \enddot
189  */
190 typedef struct {
191     mbedtls_lms_parameters_t MBEDTLS_PRIVATE(params);
192     unsigned char MBEDTLS_PRIVATE(T_1_pub_key)[MBEDTLS_LMS_M_NODE_BYTES_MAX]; /*!< The public key, in
193                                                                                  the form of the Merkle tree root node. */
194     unsigned char MBEDTLS_PRIVATE(have_public_key); /*!< Whether the context contains a public key.
195                                                        Boolean values only. */
196 } mbedtls_lms_public_t;
197 
198 
199 #if defined(MBEDTLS_LMS_PRIVATE)
200 /** LMS private context structure.
201  *
202  * A LMS private key is a set of LMOTS private keys, an index to the next usable
203  * key, and the applicable parameter set.
204  *
205  * The context must be initialized before it is used. A public key must either
206  * be imported or generated from a private context.
207  *
208  * \dot
209  * digraph lms_public_t {
210  *   UNINITIALIZED -> INIT [label="init"];
211  *   HAVE_PRIVATE_KEY -> INIT [label="free"];
212  *   INIT -> HAVE_PRIVATE_KEY [label="generate_private_key"];
213  * }
214  * \enddot
215  */
216 typedef struct {
217     mbedtls_lms_parameters_t MBEDTLS_PRIVATE(params);
218     uint32_t MBEDTLS_PRIVATE(q_next_usable_key); /*!< The index of the next OTS key that has not
219                                                       been used. */
220     mbedtls_lmots_private_t *MBEDTLS_PRIVATE(ots_private_keys); /*!< The private key material. One OTS key
221                                                                    for each leaf node in the Merkle tree. NULL
222                                                                    when have_private_key is 0 and non-NULL otherwise.
223                                                                    is 2^MBEDTLS_LMS_H_TREE_HEIGHT(type) in length. */
224     mbedtls_lmots_public_t *MBEDTLS_PRIVATE(ots_public_keys); /*!< The OTS key public keys, used to
225                                                                    build the Merkle tree. NULL
226                                                                    when have_private_key is 0 and
227                                                                    non-NULL otherwise.
228                                                                    Is 2^MBEDTLS_LMS_H_TREE_HEIGHT(type)
229                                                                    in length. */
230     unsigned char MBEDTLS_PRIVATE(have_private_key); /*!< Whether the context contains a private key.
231                                                         Boolean values only. */
232 } mbedtls_lms_private_t;
233 #endif /* defined(MBEDTLS_LMS_PRIVATE) */
234 
235 /**
236  * \brief                    This function initializes an LMS public context
237  *
238  * \param ctx                The uninitialized LMS context that will then be
239  *                           initialized.
240  */
241 void mbedtls_lms_public_init(mbedtls_lms_public_t *ctx);
242 
243 /**
244  * \brief                    This function uninitializes an LMS public context
245  *
246  * \param ctx                The initialized LMS context that will then be
247  *                           uninitialized.
248  */
249 void mbedtls_lms_public_free(mbedtls_lms_public_t *ctx);
250 
251 /**
252  * \brief                    This function imports an LMS public key into a
253  *                           public LMS context.
254  *
255  * \note                     Before this function is called, the context must
256  *                           have been initialized.
257  *
258  * \note                     See IETF RFC8554 for details of the encoding of
259  *                           this public key.
260  *
261  * \param ctx                The initialized LMS context store the key in.
262  * \param key                The buffer from which the key will be read.
263  *                           #MBEDTLS_LMS_PUBLIC_KEY_LEN bytes will be read from
264  *                           this.
265  * \param key_size           The size of the key being imported.
266  *
267  * \return         \c 0 on success.
268  * \return         A non-zero error code on failure.
269  */
270 int mbedtls_lms_import_public_key(mbedtls_lms_public_t *ctx,
271                                   const unsigned char *key, size_t key_size);
272 
273 /**
274  * \brief                    This function exports an LMS public key from a
275  *                           LMS public context that already contains a public
276  *                           key.
277  *
278  * \note                     Before this function is called, the context must
279  *                           have been initialized and the context must contain
280  *                           a public key.
281  *
282  * \note                     See IETF RFC8554 for details of the encoding of
283  *                           this public key.
284  *
285  * \param ctx                The initialized LMS public context that contains
286  *                           the public key.
287  * \param key                The buffer into which the key will be output. Must
288  *                           be at least #MBEDTLS_LMS_PUBLIC_KEY_LEN in size.
289  * \param key_size           The size of the key buffer.
290  * \param key_len            If not NULL, will be written with the size of the
291  *                           key.
292  *
293  * \return         \c 0 on success.
294  * \return         A non-zero error code on failure.
295  */
296 int mbedtls_lms_export_public_key(const mbedtls_lms_public_t *ctx,
297                                   unsigned char *key, size_t key_size,
298                                   size_t *key_len);
299 
300 /**
301  * \brief                    This function verifies a LMS signature, using a
302  *                           LMS context that contains a public key.
303  *
304  * \note                     Before this function is called, the context must
305  *                           have been initialized and must contain a public key
306  *                           (either by import or generation).
307  *
308  * \param ctx                The initialized LMS public context from which the
309  *                           public key will be read.
310  * \param msg                The buffer from which the message will be read.
311  * \param msg_size           The size of the message that will be read.
312  * \param sig                The buf from which the signature will be read.
313  *                           #MBEDTLS_LMS_SIG_LEN bytes will be read from
314  *                           this.
315  * \param sig_size           The size of the signature to be verified.
316  *
317  * \return         \c 0 on successful verification.
318  * \return         A non-zero error code on failure.
319  */
320 int mbedtls_lms_verify(const mbedtls_lms_public_t *ctx,
321                        const unsigned char *msg, size_t msg_size,
322                        const unsigned char *sig, size_t sig_size);
323 
324 #if defined(MBEDTLS_LMS_PRIVATE)
325 /**
326  * \brief                    This function initializes an LMS private context
327  *
328  * \param ctx                The uninitialized LMS private context that will
329  *                           then be initialized. */
330 void mbedtls_lms_private_init(mbedtls_lms_private_t *ctx);
331 
332 /**
333  * \brief                    This function uninitializes an LMS private context
334  *
335  * \param ctx                The initialized LMS private context that will then
336  *                           be uninitialized.
337  */
338 void mbedtls_lms_private_free(mbedtls_lms_private_t *ctx);
339 
340 /**
341  * \brief                    This function generates an LMS private key, and
342  *                           stores in into an LMS private context.
343  *
344  * \warning                  This function is **not intended for use in
345  *                           production**, due to as-yet unsolved problems with
346  *                           handling stateful keys. The API for this function
347  *                           may change considerably in future versions.
348  *
349  * \note                     The seed must have at least 256 bits of entropy.
350  *
351  * \param ctx                The initialized LMOTS context to generate the key
352  *                           into.
353  * \param type               The LMS parameter set identifier.
354  * \param otstype            The LMOTS parameter set identifier.
355  * \param f_rng              The RNG function to be used to generate the key ID.
356  * \param p_rng              The RNG context to be passed to f_rng
357  * \param seed               The seed used to deterministically generate the
358  *                           key.
359  * \param seed_size          The length of the seed.
360  *
361  * \return         \c 0 on success.
362  * \return         A non-zero error code on failure.
363  */
364 int mbedtls_lms_generate_private_key(mbedtls_lms_private_t *ctx,
365                                      mbedtls_lms_algorithm_type_t type,
366                                      mbedtls_lmots_algorithm_type_t otstype,
367                                      int (*f_rng)(void *, unsigned char *, size_t),
368                                      void *p_rng, const unsigned char *seed,
369                                      size_t seed_size);
370 
371 /**
372  * \brief                    This function calculates an LMS public key from a
373  *                           LMS context that already contains a private key.
374  *
375  * \note                     Before this function is called, the context must
376  *                           have been initialized and the context must contain
377  *                           a private key.
378  *
379  * \param ctx                The initialized LMS public context to calculate the key
380  *                           from and store it into.
381  *
382  * \param priv_ctx           The LMS private context to read the private key
383  *                           from. This must have been initialized and contain a
384  *                           private key.
385  *
386  * \return         \c 0 on success.
387  * \return         A non-zero error code on failure.
388  */
389 int mbedtls_lms_calculate_public_key(mbedtls_lms_public_t *ctx,
390                                      const mbedtls_lms_private_t *priv_ctx);
391 
392 /**
393  * \brief                    This function creates a LMS signature, using a
394  *                           LMS context that contains unused private keys.
395  *
396  * \warning                  This function is **not intended for use in
397  *                           production**, due to as-yet unsolved problems with
398  *                           handling stateful keys. The API for this function
399  *                           may change considerably in future versions.
400  *
401  * \note                     Before this function is called, the context must
402  *                           have been initialized and must contain a private
403  *                           key.
404  *
405  * \note                     Each of the LMOTS private keys inside a LMS private
406  *                           key can only be used once. If they are reused, then
407  *                           attackers may be able to forge signatures with that
408  *                           key. This is all handled transparently, but it is
409  *                           important to not perform copy operations on LMS
410  *                           contexts that contain private key material.
411  *
412  * \param ctx                The initialized LMS private context from which the
413  *                           private key will be read.
414  * \param f_rng              The RNG function to be used for signature
415  *                           generation.
416  * \param p_rng              The RNG context to be passed to f_rng
417  * \param msg                The buffer from which the message will be read.
418  * \param msg_size           The size of the message that will be read.
419  * \param sig                The buf into which the signature will be stored.
420  *                           Must be at least #MBEDTLS_LMS_SIG_LEN in size.
421  * \param sig_size           The size of the buffer the signature will be
422  *                           written into.
423  * \param sig_len            If not NULL, will be written with the size of the
424  *                           signature.
425  *
426  * \return         \c 0 on success.
427  * \return         A non-zero error code on failure.
428  */
429 int mbedtls_lms_sign(mbedtls_lms_private_t *ctx,
430                      int (*f_rng)(void *, unsigned char *, size_t),
431                      void *p_rng, const unsigned char *msg,
432                      unsigned int msg_size, unsigned char *sig, size_t sig_size,
433                      size_t *sig_len);
434 #endif /* defined(MBEDTLS_LMS_PRIVATE) */
435 
436 #ifdef __cplusplus
437 }
438 #endif
439 
440 #endif /* MBEDTLS_LMS_H */
441