Refactor and deduplicate WOTS

wots.c

@@ -1,4 +1,6 @@
 #include <stdint.h>
+#include <string.h>
+
 #include "xmss_commons.h"
 #include "hash.h"
 #include "wots.h"
@@ -35,10 +37,10 @@ static void gen_chain(const xmss_params *params,
 {
     uint32_t i;
 
-    for (i = 0; i < params->n; i++) {
+    /* Initialize out with the value at position 'start'. */
-        out[i] = in[i];
+    memcpy(out, in, params->n);
-    }
 
+    /* Iterate 'steps' calls to the hash function. */
     for (i = start; i < (start+steps) && i < params->wots_w; i++) {
         set_hash_addr(addr, i);
         hash_f(params, out, out, pub_seed, addr);
@@ -48,17 +50,18 @@ static void gen_chain(const xmss_params *params,
 /**
  * base_w algorithm as described in draft.
  * Interprets an array of bytes as integers in base w.
+ * This only works when log_w is a divisor of 8.
  */
 static void base_w(const xmss_params *params,
                    int *output, const int out_len, const unsigned char *input)
 {
     int in = 0;
     int out = 0;
-    uint8_t total = 0;
+    unsigned char total;
     int bits = 0;
-    int i;
+    int consumed;
 
-    for (i = 0; i < out_len; i++) {
+    for (consumed = 0; consumed < out_len; consumed++) {
         if (bits == 0) {
             total = input[in];
             in++;
@@ -70,83 +73,99 @@ static void base_w(const xmss_params *params,
     }
 }
 
+/* Computes the WOTS+ checksum over a message (in base_w). */
+static void wots_checksum(const xmss_params *params,
+                          int *csum_base_w, const int *msg_base_w)
+{
+    int csum = 0;
+    unsigned char csum_bytes[(params->wots_len2 * params->wots_log_w + 7) / 8];
+    unsigned int i;
+
+    /* Compute checksum. */
+    for (i = 0; i < params->wots_len1; i++) {
+        csum += params->wots_w - 1 - msg_base_w[i];
+    }
+
+    /* Convert checksum to base_w. */
+    /* Make sure expected empty zero bits are the least significant bits. */
+    csum = csum << (8 - ((params->wots_len2 * params->wots_log_w) % 8));
+    ull_to_bytes(csum_bytes, csum, sizeof(csum_bytes));
+    base_w(params, csum_base_w, params->wots_len2, csum_bytes);
+}
+
+/* Takes a message and derives the matching chain lengths. */
+static void chain_lengths(const xmss_params *params,
+                          int *lengths, const unsigned char *msg)
+{
+    base_w(params, lengths, params->wots_len1, msg);
+    wots_checksum(params, lengths + params->wots_len1, lengths);
+}
+
+/**
+ * WOTS key generation. Takes a 32 byte seed for the private key, expands it to
+ * a full WOTS private key and computes the corresponding public key.
+ * It requires the seed pub_seed (used to generate bitmasks and hash keys)
+ * and the address of this WOTS key pair.
+ *
+ * Writes the computed public key to 'pk'.
+ */
 void wots_pkgen(const xmss_params *params,
-                unsigned char *pk, const unsigned char *sk,
+                unsigned char *pk, const unsigned char *seed,
                 const unsigned char *pub_seed, uint32_t addr[8])
 {
     uint32_t i;
 
-    expand_seed(params, pk, sk);
+    /* The WOTS+ private key is derived from the seed. */
+    expand_seed(params, pk, seed);
+
     for (i = 0; i < params->wots_len; i++) {
         set_chain_addr(addr, i);
         gen_chain(params, pk + i*params->n, pk + i*params->n,
-                  0, params->wots_w-1, pub_seed, addr);
+                  0, params->wots_w - 1, pub_seed, addr);
     }
 }
 
-
+/**
+ * Takes a m-byte message and the 32-byte seed for the private key to compute a
+ * signature that is placed at 'sig'.
+ */
 void wots_sign(const xmss_params *params,
                unsigned char *sig, const unsigned char *msg,
-               const unsigned char *sk, const unsigned char *pub_seed,
+               const unsigned char *seed, const unsigned char *pub_seed,
                uint32_t addr[8])
 {
-    int basew[params->wots_len];
+    int lengths[params->wots_len];
-    int csum = 0;
-    unsigned char csum_bytes[((params->wots_len2 * params->wots_log_w) + 7) / 8];
-    int csum_basew[params->wots_len2];
     uint32_t i;
 
-    base_w(params, basew, params->wots_len1, msg);
+    chain_lengths(params, lengths, msg);
 
-    for (i = 0; i < params->wots_len1; i++) {
+    /* The WOTS+ private key is derived from the seed. */
-        csum += params->wots_w - 1 - basew[i];
+    expand_seed(params, sig, seed);
-    }
-
-    csum = csum << (8 - ((params->wots_len2 * params->wots_log_w) % 8));
-
-    ull_to_bytes(csum_bytes, csum, ((params->wots_len2 * params->wots_log_w) + 7) / 8);
-    base_w(params, csum_basew, params->wots_len2, csum_bytes);
-
-    for (i = 0; i < params->wots_len2; i++) {
-        basew[params->wots_len1 + i] = csum_basew[i];
-    }
-
-    expand_seed(params, sig, sk);
 
     for (i = 0; i < params->wots_len; i++) {
         set_chain_addr(addr, i);
         gen_chain(params, sig + i*params->n, sig + i*params->n,
-                  0, basew[i], pub_seed, addr);
+                  0, lengths[i], pub_seed, addr);
     }
 }
 
+/**
+ * Takes a WOTS signature and an m-byte message, computes a WOTS public key.
+ *
+ * Writes the computed public key to 'pk'.
+ */
 void wots_pk_from_sig(const xmss_params *params, unsigned char *pk,
                       const unsigned char *sig, const unsigned char *msg,
                       const unsigned char *pub_seed, uint32_t addr[8])
 {
-    int basew[params->wots_len];
+    int lengths[params->wots_len];
-    int csum = 0;
+    uint32_t i;
-    unsigned char csum_bytes[((params->wots_len2 * params->wots_log_w) + 7) / 8];
-    int csum_basew[params->wots_len2];
-    uint32_t i = 0;
 
-    base_w(params, basew, params->wots_len1, msg);
+    chain_lengths(params, lengths, msg);
 
-    for (i=0; i < params->wots_len1; i++) {
+    for (i = 0; i < params->wots_len; i++) {
-        csum += params->wots_w - 1 - basew[i];
-    }
-
-    csum = csum << (8 - ((params->wots_len2 * params->wots_log_w) % 8));
-
-    ull_to_bytes(csum_bytes, csum, ((params->wots_len2 * params->wots_log_w) + 7) / 8);
-    base_w(params, csum_basew, params->wots_len2, csum_bytes);
-
-    for (i = 0; i < params->wots_len2; i++) {
-        basew[params->wots_len1 + i] = csum_basew[i];
-    }
-    for (i=0; i < params->wots_len; i++) {
         set_chain_addr(addr, i);
         gen_chain(params, pk + i*params->n, sig + i*params->n,
-                  basew[i], params->wots_w-1-basew[i], pub_seed, addr);
+                  lengths[i], params->wots_w - 1 - lengths[i], pub_seed, addr);
     }
 }

wots.h

@@ -5,24 +5,24 @@
 #include "params.h"
 
 /**
- * WOTS key generation. Takes a 32 byte seed for the secret key, expands it to
+ * WOTS key generation. Takes a 32 byte seed for the private key, expands it to
- * a full WOTS secret key and computes the corresponding public key.
+ * a full WOTS private key and computes the corresponding public key.
  * It requires the seed pub_seed (used to generate bitmasks and hash keys)
  * and the address of this WOTS key pair.
  *
  * Writes the computed public key to 'pk'.
  */
 void wots_pkgen(const xmss_params *params,
-                unsigned char *pk, const unsigned char *sk,
+                unsigned char *pk, const unsigned char *seed,
                 const unsigned char *pub_seed, uint32_t addr[8]);
 
 /**
- * Takes a m-byte message and the 32-byte seed for the secret key to compute a
+ * Takes a m-byte message and the 32-byte seed for the private key to compute a
  * signature that is placed at 'sig'.
  */
 void wots_sign(const xmss_params *params,
                unsigned char *sig, const unsigned char *msg,
-               const unsigned char *sk, const unsigned char *pub_seed,
+               const unsigned char *seed, const unsigned char *pub_seed,
                uint32_t addr[8]);
 
 /**