Package: hsslms
python-hsslmsThis is an implementation of Leighton-Micali Hash-Based Signatures in Python according toRFC 8554 <https://www.rfc-editor.org/rfc/rfc8554.html>_. The one time signature keys are generated by using pseudo random generator, which saves a lot of memory to store the private keys in ram and on harddisk.The implementation is meant as a reference and for educational purposes.The implementation provides 4 classes:LM-OTS One-Time Signatures. These are one-time signatures; each private key MUST be used at most one time to sign a message.Leighton-Micali Signatures (LMS). This systemholds a fixed number of one-time signatures, i.e. LM-OTS.Hierarchical Signatures (HSS). This system uses a sequence of LMS.Persistent Hierarchical Signatures (PersHSS). The same as HSS except that the private key is stored in an encrypted file.Installation.. code:: bashpython3 -m pip install hsslmsExample UsageLM-OTS
^^^^^^.. code:: pythonfrom os import urandom
from hsslms import LM_OTS_Privgenerate a one-time private keysk = LM_OTS_Priv(LMOTS_ALGORITHM_TYPE.LMOTS_SHA256_N32_W2, urandom(16), 0)sign a message with the private keysignature = sk.sign(b'abc')compute the related public keyvk = sk.gen_pub()verify the signature, if invalid an exception will be raisedvk.verify(b'abc', signature)LMS
^^^.. code:: pythonfrom os import urandom
from hsslms import LMS_Privgenerate a private keysk = LMS_Priv(LMS_ALGORITHM_TYPE.LMS_SHA256_M32_H10, LMOTS_ALGORITHM_TYPE.LMOTS_SHA256_N32_W8)sign a message with the private key, in total 2^10 signatures are availablesignature = sk.sign(b'abc')compute the related public keyvk = sk.gen_pub()verify the signature, if invalid an exception will be raisedvk.verify(b'abc', signature)HSS
^^^.. code:: pythonfrom os import urandom
from hsslms import HSS_Privgenerate a private keysk = HSS_Priv([LMS_ALGORITHM_TYPE.LMS_SHA256_M32_H10]*2, LMOTS_ALGORITHM_TYPE.LMOTS_SHA256_N32_W1)sign a message with the private key, in total 2^20 signatures are availablesignature = sk.sign(b'abc')compute the related public keyvk = sk.gen_pub()verify the signature, if invalid an exception will be raisedvk.verify(b'abc', signature)Performance MeasurementsThe measurements are done on a Ryzen 5800X, where multiprocessing
features are used with 6 cores.Key Generation
^^^^^^^^^^^^^^+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| Key-Type | Time[s]               | #Signatures | Size of Signature          |
+==========+=====+=====+=====+=====+=============+======+======+======+=======+
| w        | 1   | 2   | 4   | 8   |             | 1    | 2    | 4    | 8     |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H5       | 0.1 | 0.1 | 0.1 | 0.1 | 32          | 8688 | 4464 | 2352 | 1296  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H10      | 0.3 | 0.2 | 0.2 | 0.7 | 1024        | 8848 | 4624 | 2512 | 1456  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H15      | 8.0 | 4.6 | 4.3 | 20.2| 32768       | 9008 | 4784 | 2672 | 1616  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H20      | 293 | 161 | 137 | 643 | 1048576     | 9168 | 4944 | 2832 | 1776  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H10/H10  | 0.6 | 0.5 | 0.5 | 1.4 | 1048576     | 17748| 9300 | 5076 | 2964  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H10/H15  | 8.1 | 4.6 | 4.2 | 21.1| 33554432    | 17908| 9460 | 5236 | 3124  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+
| H15/H15  | 15.7| 10.4| 8.9 | 40.0| 1073741824  | 18068| 9620 | 5396 | 3284  |
+----------+-----+-----+-----+-----+-------------+------+------+------+-------+Performance of Signature Generation:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+----------+-------+-------+-------+-------+
| Key-Type | Time[s]                       |
+==========+=======+=======+=======+=======+
| w        |  1    |  2    |  4    |  8    |
+----------+-------+-------+-------+-------+
| H15      | 0.001 | 0.001 | 0.001 | 0.005 |
+----------+-------+-------+-------+-------+Performance of Signature Verification:
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^+----------+-------+-------+-------+-------+
| Key-Type | Time[s]                       |
+==========+=======+=======+=======+=======+
| w        |  1    |  2    |  4    |  8    |
+----------+-------+-------+-------+-------+
| H15      | 0.001 | 0.001 | 0.001 | 0.004 |
+----------+-------+-------+-------+-------+LicenseMIT <https://opensource.org/licenses/MIT>__