libosmogsm  0.10.2.279.178b
Osmocom GSM library
GSM/GPRS/3G Authentication

GSM/GPRS/3G authentication core infrastructure. More...

Files

file  auth.h
 
file  auth_core.c
 
file  comp128.c
 COMP128 v1; common/old GSM Authentication Algorithm (A3/A8).
 
file  comp128v23.c
 COMP128 version 2 and 3 implementation, common algorithm used for GSM Authentication (A3/A8).
 

Data Structures

struct  osmo_sub_auth_data
 permanent (secret) subscriber auth data More...
 
struct  osmo_auth_vector
 
struct  osmo_auth_impl
 

Macros

#define OSMO_A5_MAX_KEY_LEN_BYTES   (128/8)
 
#define OSMO_MILENAGE_IND_BITLEN_MAX   28
 

Enumerations

enum  osmo_sub_auth_type {
  OSMO_AUTH_TYPE_NONE = 0x00,
  OSMO_AUTH_TYPE_GSM = 0x01,
  OSMO_AUTH_TYPE_UMTS = 0x02
}
 Authentication Type (GSM/UMTS) More...
 
enum  osmo_auth_algo {
  OSMO_AUTH_ALG_NONE,
  OSMO_AUTH_ALG_COMP128v1,
  OSMO_AUTH_ALG_COMP128v2,
  OSMO_AUTH_ALG_COMP128v3,
  OSMO_AUTH_ALG_XOR,
  OSMO_AUTH_ALG_MILENAGE,
  _OSMO_AUTH_ALG_NUM
}
 Authentication Algorithm. More...
 

Functions

static const char * osmo_sub_auth_type_name (enum osmo_sub_auth_type val)
 
int osmo_auth_gen_vec (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
 Generate authentication vector. More...
 
int osmo_auth_gen_vec_auts (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *auts, const uint8_t *rand_auts, const uint8_t *_rand)
 Generate authentication vector and re-sync sequence. More...
 
int osmo_auth_register (struct osmo_auth_impl *impl)
 Register an authentication algorithm implementation with the core. More...
 
int osmo_auth_load (const char *path)
 Load all available authentication plugins from the given path. More...
 
int osmo_auth_supported (enum osmo_auth_algo algo)
 Determine if a given authentication algorithm is supported. More...
 
void osmo_c4 (uint8_t *ck, const uint8_t *kc)
 
const char * osmo_auth_alg_name (enum osmo_auth_algo alg)
 Get human-readable name of authentication algorithm. More...
 
enum osmo_auth_algo osmo_auth_alg_parse (const char *name)
 Parse human-readable name of authentication algorithm. More...
 
void osmo_auth_c3 (uint8_t kc[], const uint8_t ck[], const uint8_t ik[])
 
static int c128v1_gen_vec (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
 
static __attribute__ ((constructor))
 
static int c128v2_gen_vec (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
 
static int c128v3_gen_vec (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
 
static LLIST_HEAD (osmo_auths)
 
static void c5_function (uint8_t *ik, const uint8_t *kc)
 
int osmo_auth_3g_from_2g (struct osmo_auth_vector *vec)
 Generate 3G CK + IK from 2G authentication vector. More...
 
static const uint8_t * gen_opc_if_needed (const struct osmo_sub_auth_data *aud, uint8_t *gen_opc)
 
static int milenage_gen_vec (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
 
static int milenage_gen_vec_auts (struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *auts, const uint8_t *rand_auts, const uint8_t *_rand)
 
static void _comp128_compression_round (uint8_t *x, int n, const uint8_t *tbl)
 
static void _comp128_compression (uint8_t *x)
 
static void _comp128_bitsfrombytes (uint8_t *x, uint8_t *bits)
 
static void _comp128_permutation (uint8_t *x, uint8_t *bits)
 
void comp128v1 (const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
 Perform COMP128v1 algorithm. More...
 
void comp128 (const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
 Perform COMP128v1 algorithm. More...
 
static void _comp128v23_internal (uint8_t *output, const uint8_t *kxor, const uint8_t *rand)
 
int comp128v3 (const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
 Perform COMP128v3 algorithm. More...
 
int comp128v2 (const uint8_t *ki, const uint8_t *rand, uint8_t *sres, uint8_t *kc)
 Perform COMP128v2 algorithm. More...
 

Variables

const struct value_string osmo_sub_auth_type_names []
 
static struct osmo_auth_impl c128v1_alg
 
static struct osmo_auth_impl c128v2_alg
 
static struct osmo_auth_impl c128v3_alg
 
static struct osmo_auth_implselected_auths [_OSMO_AUTH_ALG_NUM]
 
static const struct value_string auth_alg_vals []
 
const struct value_string osmo_sub_auth_type_names []
 
static struct osmo_auth_impl milenage_alg
 
static const uint8_t table_0 [512]
 
static const uint8_t table_1 [256]
 
static const uint8_t table_2 [128]
 
static const uint8_t table_3 [64]
 
static const uint8_t table_4 [32]
 
static const uint8_t * _comp128_table [5] = { table_0, table_1, table_2, table_3, table_4 }
 
static const uint8_t table0 [256]
 
static const uint8_t table1 [256]
 

Detailed Description

GSM/GPRS/3G authentication core infrastructure.

Macro Definition Documentation

◆ OSMO_A5_MAX_KEY_LEN_BYTES

#define OSMO_A5_MAX_KEY_LEN_BYTES   (128/8)

◆ OSMO_MILENAGE_IND_BITLEN_MAX

#define OSMO_MILENAGE_IND_BITLEN_MAX   28

Referenced by milenage_gen_vec().

Enumeration Type Documentation

◆ osmo_auth_algo

Authentication Algorithm.

See also osmo_auth_alg_name() and osmo_auth_alg_parse().

Enumerator
OSMO_AUTH_ALG_NONE 
OSMO_AUTH_ALG_COMP128v1 
OSMO_AUTH_ALG_COMP128v2 
OSMO_AUTH_ALG_COMP128v3 
OSMO_AUTH_ALG_XOR 
OSMO_AUTH_ALG_MILENAGE 
_OSMO_AUTH_ALG_NUM 

◆ osmo_sub_auth_type

Authentication Type (GSM/UMTS)

Enumerator
OSMO_AUTH_TYPE_NONE 
OSMO_AUTH_TYPE_GSM 
OSMO_AUTH_TYPE_UMTS 

Function Documentation

◆ __attribute__()

static __attribute__ ( (constructor)  )
static

References osmo_auth_register().

◆ _comp128_bitsfrombytes()

static void _comp128_bitsfrombytes ( uint8_t *  x,
uint8_t *  bits 
)
inlinestatic

Referenced by comp128v1().

◆ _comp128_compression()

static void _comp128_compression ( uint8_t *  x)
inlinestatic

References _comp128_compression_round(), and _comp128_table.

Referenced by comp128v1().

◆ _comp128_compression_round()

static void _comp128_compression_round ( uint8_t *  x,
int  n,
const uint8_t *  tbl 
)
inlinestatic

References m.

Referenced by _comp128_compression().

◆ _comp128_permutation()

static void _comp128_permutation ( uint8_t *  x,
uint8_t *  bits 
)
inlinestatic

Referenced by comp128v1().

◆ _comp128v23_internal()

static void _comp128v23_internal ( uint8_t *  output,
const uint8_t *  kxor,
const uint8_t *  rand 
)
static

References table0, and table1.

Referenced by comp128v3().

◆ c128v1_gen_vec()

static int c128v1_gen_vec ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  _rand 
)
static

◆ c128v2_gen_vec()

static int c128v2_gen_vec ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  _rand 
)
static

◆ c128v3_gen_vec()

static int c128v3_gen_vec ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  _rand 
)
static

◆ c5_function()

static void c5_function ( uint8_t *  ik,
const uint8_t *  kc 
)
inlinestatic

Referenced by osmo_auth_3g_from_2g().

◆ comp128()

void comp128 ( const uint8_t *  ki,
const uint8_t *  rand,
uint8_t *  sres,
uint8_t *  kc 
)

Perform COMP128v1 algorithm.

Parameters
[in]kiSecret Key K(i) of subscriber
[in]randRandom Challenge
[out]sresuser-supplied buffer for storing computed SRES value
[out]kcuser-supplied buffer for storing computed Kc value

References comp128v1().

◆ comp128v1()

void comp128v1 ( const uint8_t *  ki,
const uint8_t *  rand,
uint8_t *  sres,
uint8_t *  kc 
)

Perform COMP128v1 algorithm.

Parameters
[in]kiSecret Key K(i) of subscriber
[in]randRandom Challenge
[out]sresuser-supplied buffer for storing computed SRES value
[out]kcuser-supplied buffer for storing computed Kc value

References _comp128_bitsfrombytes(), _comp128_compression(), and _comp128_permutation().

Referenced by c128v1_gen_vec(), and comp128().

◆ comp128v2()

int comp128v2 ( const uint8_t *  ki,
const uint8_t *  rand,
uint8_t *  sres,
uint8_t *  kc 
)

Perform COMP128v2 algorithm.

Parameters
[in]kiSecret Key K(i) of subscriber
[in]randRandom Challenge
[out]sresuser-supplied buffer for storing computed SRES value
[out]kcuser-supplied buffer for storing computed Kc value
Returns
0

References comp128v3().

Referenced by c128v2_gen_vec().

◆ comp128v3()

int comp128v3 ( const uint8_t *  ki,
const uint8_t *  rand,
uint8_t *  sres,
uint8_t *  kc 
)

Perform COMP128v3 algorithm.

Parameters
[in]kiSecret Key K(i) of subscriber
[in]randRandom Challenge
[out]sresuser-supplied buffer for storing computed SRES value
[out]kcuser-supplied buffer for storing computed Kc value
Returns
0

References _comp128v23_internal().

Referenced by c128v3_gen_vec(), and comp128v2().

◆ gen_opc_if_needed()

static const uint8_t* gen_opc_if_needed ( const struct osmo_sub_auth_data aud,
uint8_t *  gen_opc 
)
static

◆ LLIST_HEAD()

static LLIST_HEAD ( osmo_auths  )
static

◆ milenage_gen_vec()

◆ milenage_gen_vec_auts()

static int milenage_gen_vec_auts ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  auts,
const uint8_t *  rand_auts,
const uint8_t *  _rand 
)
static

◆ osmo_auth_3g_from_2g()

int osmo_auth_3g_from_2g ( struct osmo_auth_vector vec)

Generate 3G CK + IK from 2G authentication vector.

Parameters
vecAuthentication Vector to be modified
Returns
1 if the vector was changed, 0 otherwise

This function performs the C5 and C4 functions to derive the UMTS key material from the GSM key material in the supplied vector, if the input vector doesn't yet have UMTS authentication capability.

References osmo_auth_vector::auth_types, c5_function(), osmo_auth_vector::ck, osmo_auth_vector::ik, osmo_auth_vector::kc, OSMO_AUTH_TYPE_GSM, OSMO_AUTH_TYPE_UMTS, and osmo_c4().

◆ osmo_auth_alg_name()

const char * osmo_auth_alg_name ( enum osmo_auth_algo  alg)

Get human-readable name of authentication algorithm.

References get_value_string().

◆ osmo_auth_alg_parse()

enum osmo_auth_algo osmo_auth_alg_parse ( const char *  name)

Parse human-readable name of authentication algorithm.

References get_string_value().

◆ osmo_auth_c3()

void osmo_auth_c3 ( uint8_t  kc[],
const uint8_t  ck[],
const uint8_t  ik[] 
)

Referenced by gsm_milenage().

◆ osmo_auth_gen_vec()

int osmo_auth_gen_vec ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  _rand 
)

Generate authentication vector.

Parameters
[out]vecGenerated authentication vector
[in]audSubscriber-specific key material
[in]_randRandom challenge to be used
Returns
0 on success, negative error on failure

This function performs the core cryptographic function of the AUC, computing authentication triples/quintuples based on the permanent subscriber data and a random value. The result is what is forwarded by the AUC via HLR and VLR to the MSC which will then be able to invoke authentication with the MS

References osmo_sub_auth_data::algo, osmo_auth_impl::gen_vec, and osmo_auth_vector::rand.

◆ osmo_auth_gen_vec_auts()

int osmo_auth_gen_vec_auts ( struct osmo_auth_vector vec,
struct osmo_sub_auth_data aud,
const uint8_t *  auts,
const uint8_t *  rand_auts,
const uint8_t *  _rand 
)

Generate authentication vector and re-sync sequence.

Parameters
[out]vecGenerated authentication vector
[in]audSubscriber-specific key material
[in]autsAUTS value sent by the SIM/MS
[in]rand_autsRAND value sent by the SIM/MS
[in]_randRandom challenge to be used to generate vector
Returns
0 on success, negative error on failure

This function performs a special variant of the core cryptographic function of the AUC: computing authentication triples/quintuples based on the permanent subscriber data, a random value as well as the AUTS and RAND values returned by the SIM/MS. This special variant is needed if the sequence numbers between MS and AUC have for some reason become different.

References osmo_sub_auth_data::algo, osmo_auth_impl::gen_vec_auts, and osmo_auth_vector::rand.

◆ osmo_auth_load()

int osmo_auth_load ( const char *  path)

Load all available authentication plugins from the given path.

Parameters
[in]pathPath name of the directory containing the plugins
Returns
number of plugins loaded in case of success, negative in case of error

This function will load all plugins contained in the specified path.

References osmo_plugin_load_all().

◆ osmo_auth_register()

int osmo_auth_register ( struct osmo_auth_impl impl)

Register an authentication algorithm implementation with the core.

Parameters
[in]implStructure describing implementation and it's callbacks
Returns
0 on success, or a negative error code on failure

This function is called by an authentication implementation plugin to register itself with the authentication core.

References osmo_auth_impl::algo, ARRAY_SIZE, osmo_auth_impl::list, llist_add_tail(), and osmo_auth_impl::priority.

Referenced by __attribute__().

◆ osmo_auth_supported()

int osmo_auth_supported ( enum osmo_auth_algo  algo)

Determine if a given authentication algorithm is supported.

Parameters
[in]algoAlgorithm which should be checked
Returns
1 if algo is supported, 0 if not, negative error on failure

This function is used by an application to determine at runtime if a given authentication algorithm is supported or not.

References ARRAY_SIZE.

◆ osmo_c4()

void osmo_c4 ( uint8_t *  ck,
const uint8_t *  kc 
)

Referenced by _a5_3(), gea3(), and osmo_auth_3g_from_2g().

◆ osmo_sub_auth_type_name()

static const char* osmo_sub_auth_type_name ( enum osmo_sub_auth_type  val)
inlinestatic

Variable Documentation

◆ _comp128_table

const uint8_t* _comp128_table[5] = { table_0, table_1, table_2, table_3, table_4 }
static

Referenced by _comp128_compression().

◆ auth_alg_vals

const struct value_string auth_alg_vals[]
static
Initial value:
= {
{ OSMO_AUTH_ALG_NONE, "None" },
{ OSMO_AUTH_ALG_COMP128v1, "COMP128v1" },
{ OSMO_AUTH_ALG_COMP128v2, "COMP128v2" },
{ OSMO_AUTH_ALG_COMP128v3, "COMP128v3" },
{ OSMO_AUTH_ALG_XOR, "XOR" },
{ OSMO_AUTH_ALG_MILENAGE, "MILENAGE" },
{ 0, NULL }
}
Definition: auth.h:30
Definition: auth.h:33
Definition: auth.h:31
Definition: auth.h:34
Definition: auth.h:29
Definition: auth.h:32

◆ c128v1_alg

struct osmo_auth_impl c128v1_alg
static
Initial value:
= {
.name = "COMP128v1 (libosmogsm built-in)",
.priority = 1000,
.gen_vec = &c128v1_gen_vec,
}
static int c128v1_gen_vec(struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
Definition: auth_comp128v1.c:33
Definition: auth.h:30

◆ c128v2_alg

struct osmo_auth_impl c128v2_alg
static
Initial value:
= {
.name = "COMP128v2 (libosmogsm built-in)",
.priority = 1000,
.gen_vec = &c128v2_gen_vec,
}
static int c128v2_gen_vec(struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
Definition: auth_comp128v23.c:35
Definition: auth.h:31

◆ c128v3_alg

struct osmo_auth_impl c128v3_alg
static
Initial value:
= {
.name = "COMP128v3 (libosmogsm built-in)",
.priority = 1000,
.gen_vec = &c128v3_gen_vec,
}
Definition: auth.h:32
static int c128v3_gen_vec(struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
Definition: auth_comp128v23.c:52

◆ milenage_alg

struct osmo_auth_impl milenage_alg
static
Initial value:
= {
.name = "MILENAGE (libosmogsm built-in)",
.priority = 1000,
.gen_vec = &milenage_gen_vec,
.gen_vec_auts = &milenage_gen_vec_auts,
}
static int milenage_gen_vec_auts(struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *auts, const uint8_t *rand_auts, const uint8_t *_rand)
Definition: auth_milenage.c:147
static int milenage_gen_vec(struct osmo_auth_vector *vec, struct osmo_sub_auth_data *aud, const uint8_t *_rand)
Definition: auth_milenage.c:49
Definition: auth.h:34

◆ osmo_sub_auth_type_names [1/2]

const struct value_string osmo_sub_auth_type_names[]
Initial value:
= {
{ OSMO_AUTH_TYPE_NONE, "None" },
{ OSMO_AUTH_TYPE_GSM, "GSM" },
{ OSMO_AUTH_TYPE_UMTS, "UMTS" },
{ 0, NULL }
}
Definition: auth.h:18
Definition: auth.h:17
Definition: auth.h:19

Referenced by osmo_sub_auth_type_name().

◆ osmo_sub_auth_type_names [2/2]

const struct value_string osmo_sub_auth_type_names[]

Referenced by osmo_sub_auth_type_name().

◆ selected_auths

struct osmo_auth_impl* selected_auths[_OSMO_AUTH_ALG_NUM]
static

◆ table0

const uint8_t table0[256]
static
Initial value:
= {
197, 235, 60, 151, 98, 96, 3, 100, 248, 118, 42, 117, 172, 211, 181, 203, 61,
126, 156, 87, 149, 224, 55, 132, 186, 63, 238, 255, 85, 83, 152, 33, 160,
184, 210, 219, 159, 11, 180, 194, 130, 212, 147, 5, 215, 92, 27, 46, 113,
187, 52, 25, 185, 79, 221, 48, 70, 31, 101, 15, 195, 201, 50, 222, 137,
233, 229, 106, 122, 183, 178, 177, 144, 207, 234, 182, 37, 254, 227, 231, 54,
209, 133, 65, 202, 69, 237, 220, 189, 146, 120, 68, 21, 125, 38, 30, 2,
155, 53, 196, 174, 176, 51, 246, 167, 76, 110, 20, 82, 121, 103, 112, 56,
173, 49, 217, 252, 0, 114, 228, 123, 12, 93, 161, 253, 232, 240, 175, 67,
128, 22, 158, 89, 18, 77, 109, 190, 17, 62, 4, 153, 163, 59, 145, 138,
7, 74, 205, 10, 162, 80, 45, 104, 111, 150, 214, 154, 28, 191, 169, 213,
88, 193, 198, 200, 245, 39, 164, 124, 84, 78, 1, 188, 170, 23, 86, 226,
141, 32, 6, 131, 127, 199, 40, 135, 16, 57, 71, 91, 225, 168, 242, 206,
97, 166, 44, 14, 90, 236, 239, 230, 244, 223, 108, 102, 119, 148, 251, 29,
216, 8, 9, 249, 208, 24, 105, 94, 34, 64, 95, 115, 72, 134, 204, 43,
247, 243, 218, 47, 58, 73, 107, 241, 179, 116, 66, 36, 143, 81, 250, 139,
19, 13, 142, 140, 129, 192, 99, 171, 157, 136, 41, 75, 35, 165, 26
}

Referenced by _comp128v23_internal().

◆ table1

const uint8_t table1[256]
static
Initial value:
= {
170, 42, 95, 141, 109, 30, 71, 89, 26, 147, 231, 205, 239, 212, 124, 129, 216,
79, 15, 185, 153, 14, 251, 162, 0, 241, 172, 197, 43, 10, 194, 235, 6,
20, 72, 45, 143, 104, 161, 119, 41, 136, 38, 189, 135, 25, 93, 18, 224,
171, 252, 195, 63, 19, 58, 165, 23, 55, 133, 254, 214, 144, 220, 178, 156,
52, 110, 225, 97, 183, 140, 39, 53, 88, 219, 167, 16, 198, 62, 222, 76,
139, 175, 94, 51, 134, 115, 22, 67, 1, 249, 217, 3, 5, 232, 138, 31,
56, 116, 163, 70, 128, 234, 132, 229, 184, 244, 13, 34, 73, 233, 154, 179,
131, 215, 236, 142, 223, 27, 57, 246, 108, 211, 8, 253, 85, 66, 245, 193,
78, 190, 4, 17, 7, 150, 127, 152, 213, 37, 186, 2, 243, 46, 169, 68,
101, 60, 174, 208, 158, 176, 69, 238, 191, 90, 83, 166, 125, 77, 59, 21,
92, 49, 151, 168, 99, 9, 50, 146, 113, 117, 228, 65, 230, 40, 82, 54,
237, 227, 102, 28, 36, 107, 24, 44, 126, 206, 201, 61, 114, 164, 207, 181,
29, 91, 64, 221, 255, 48, 155, 192, 111, 180, 210, 182, 247, 203, 148, 209,
98, 173, 11, 75, 123, 250, 118, 32, 47, 240, 202, 74, 177, 100, 80, 196,
33, 248, 86, 157, 137, 120, 130, 84, 204, 122, 81, 242, 188, 200, 149, 226,
218, 160, 187, 106, 35, 87, 105, 96, 145, 199, 159, 12, 121, 103, 112
}

Referenced by _comp128v23_internal().

◆ table_0

const uint8_t table_0[512]
static

◆ table_1

const uint8_t table_1[256]
static
Initial value:
= {
19, 11, 80, 114, 43, 1, 69, 94, 39, 18, 127, 117, 97, 3, 85, 43,
27, 124, 70, 83, 47, 71, 63, 10, 47, 89, 79, 4, 14, 59, 11, 5,
35, 107, 103, 68, 21, 86, 36, 91, 85, 126, 32, 50, 109, 94, 120, 6,
53, 79, 28, 45, 99, 95, 41, 34, 88, 68, 93, 55, 110, 125, 105, 20,
90, 80, 76, 96, 23, 60, 89, 64, 121, 56, 14, 74, 101, 8, 19, 78,
76, 66, 104, 46, 111, 50, 32, 3, 39, 0, 58, 25, 92, 22, 18, 51,
57, 65, 119, 116, 22, 109, 7, 86, 59, 93, 62, 110, 78, 99, 77, 67,
12, 113, 87, 98, 102, 5, 88, 33, 38, 56, 23, 8, 75, 45, 13, 75,
95, 63, 28, 49, 123, 120, 20, 112, 44, 30, 15, 98, 106, 2, 103, 29,
82, 107, 42, 124, 24, 30, 41, 16, 108, 100, 117, 40, 73, 40, 7, 114,
82, 115, 36, 112, 12, 102, 100, 84, 92, 48, 72, 97, 9, 54, 55, 74,
113, 123, 17, 26, 53, 58, 4, 9, 69, 122, 21, 118, 42, 60, 27, 73,
118, 125, 34, 15, 65, 115, 84, 64, 62, 81, 70, 1, 24, 111, 121, 83,
104, 81, 49, 127, 48, 105, 31, 10, 6, 91, 87, 37, 16, 54, 116, 126,
31, 38, 13, 0, 72, 106, 77, 61, 26, 67, 46, 29, 96, 37, 61, 52,
101, 17, 44, 108, 71, 52, 66, 57, 33, 51, 25, 90, 2, 119, 122, 35,
}

◆ table_2

const uint8_t table_2[128]
static
Initial value:
= {
52, 50, 44, 6, 21, 49, 41, 59, 39, 51, 25, 32, 51, 47, 52, 43,
37, 4, 40, 34, 61, 12, 28, 4, 58, 23, 8, 15, 12, 22, 9, 18,
55, 10, 33, 35, 50, 1, 43, 3, 57, 13, 62, 14, 7, 42, 44, 59,
62, 57, 27, 6, 8, 31, 26, 54, 41, 22, 45, 20, 39, 3, 16, 56,
48, 2, 21, 28, 36, 42, 60, 33, 34, 18, 0, 11, 24, 10, 17, 61,
29, 14, 45, 26, 55, 46, 11, 17, 54, 46, 9, 24, 30, 60, 32, 0,
20, 38, 2, 30, 58, 35, 1, 16, 56, 40, 23, 48, 13, 19, 19, 27,
31, 53, 47, 38, 63, 15, 49, 5, 37, 53, 25, 36, 63, 29, 5, 7,
}

◆ table_3

const uint8_t table_3[64]
static
Initial value:
= {
1, 5, 29, 6, 25, 1, 18, 23, 17, 19, 0, 9, 24, 25, 6, 31,
28, 20, 24, 30, 4, 27, 3, 13, 15, 16, 14, 18, 4, 3, 8, 9,
20, 0, 12, 26, 21, 8, 28, 2, 29, 2, 15, 7, 11, 22, 14, 10,
17, 21, 12, 30, 26, 27, 16, 31, 11, 7, 13, 23, 10, 5, 22, 19,
}

◆ table_4

const uint8_t table_4[32]
static
Initial value:
= {
15, 12, 10, 4, 1, 14, 11, 7, 5, 0, 14, 7, 1, 2, 13, 8,
10, 3, 4, 9, 6, 0, 3, 2, 5, 6, 8, 9, 11, 13, 15, 12,
}