montana/iOS/liboqs/docs/algorithms/sig_stfl/lms.md

LMS

• Algorithm type: Digital signature scheme.
• Main cryptographic assumption: hash-based signatures.
• Principal submitters: Scott Fluhrer.
• Auxiliary submitters: C Martin, Maurice Hieronymus.
• Authors' website: https://www.rfc-editor.org/info/rfc8554
• Specification version: None.
• Primary Source:
  • Source: https://github.com/cisco/hash-sigs
  • Implementation license (SPDX-Identifier): MIT

Parameter set summary

Parameter set	Security model	Claimed NIST Level	Public key size (bytes)	Secret key size (bytes)	Signature size (bytes)
LMS_SHA256_H5_W1			60	64	8688
LMS_SHA256_H5_W2			60	64	4464
LMS_SHA256_H5_W4			60	64	2352
LMS_SHA256_H5_W8			60	64	1296
LMS_SHA256_H10_W1			60	64	8848
LMS_SHA256_H10_W2			60	64	4624
LMS_SHA256_H10_W4			60	64	2512
LMS_SHA256_H10_W8			60	64	1456
LMS_SHA256_H15_W1			60	64	9008
LMS_SHA256_H15_W2			60	64	4784
LMS_SHA256_H15_W4			60	64	2672
LMS_SHA256_H15_W8			60	64	1616
LMS_SHA256_H20_W1			60	64	9168
LMS_SHA256_H20_W2			60	64	4944
LMS_SHA256_H20_W4			60	64	2832
LMS_SHA256_H20_W8			60	64	1776
LMS_SHA256_H25_W1			60	64	9328
LMS_SHA256_H25_W2			60	64	5104
LMS_SHA256_H25_W4			60	64	2992
LMS_SHA256_H25_W8			60	64	1936
LMS_SHA256_H5_W8_H5_W8			60	64	2644
LMS_SHA256_H10_W4_H5_W8			60	64	2804
LMS_SHA256_H10_W8_H5_W8			60	64	3860
LMS_SHA256_H10_W2_H10_W2			60	64	9300
LMS_SHA256_H10_W4_H10_W4			60	64	5076
LMS_SHA256_H10_W8_H10_W8			60	64	2964
LMS_SHA256_H15_W8_H5_W8			60	64	2964
LMS_SHA256_H15_W8_H10_W8			60	64	3124
LMS_SHA256_H15_W8_H15_W8			60	64	3284
LMS_SHA256_H20_W8_H5_W8			60	64	3124
LMS_SHA256_H20_W8_H10_W8			60	64	3284
LMS_SHA256_H20_W8_H15_W8			60	64	3444
LMS_SHA256_H20_W8_H20_W8			60	64	3604