Abstract GOST-R 34.11-94 is a Russian standard cryptographic hash function that was introduced in 1994 by the Russian Federal Agency for the purposes of information processing, information security, and digital signature. Mendel et al. (2008) and Courtois and Mourouzis (2011) found attacks on the compression function of the GOST-R structure that were basically weaknesses of the GOST-R block cipher (GOST 28147–89, 1989). Hence in 2012, it was updated to GOST-R 34.11-2012, which replaced the older one for all its applications from January 2013. GOST-R 34.11-2012 is based on a modified Merkle-Damgård construction. Here we present a modified version of GOST-R 34.11-2012 (Modified GOST-R (MGR) hash). The design of the MGR hash is based on wide-pipe construction, which is also a modified Merkle-Damgård construction. MGR is much more secure as well as three times faster than GOST-R 34.11-2012. Advanced Encryption Standard (AES)-like block ciphers have been used in designing the compression function of MGR because AES is one of the most efficient and secure block ciphers and has been evaluated for more than 14 years. A detailed statistical analysis with a few other attacks on MGR is incorporated into this paper.

中文翻译：

---

MGR 哈希函数

摘要 GOST-R 34.11-94 是俄罗斯标准密码哈希函数，由俄罗斯联邦机构于 1994 年推出，用于信息处理、信息安全和数字签名。孟德尔等人。(2008) 以及 Courtois 和 Mourouzis (2011) 发现对 GOST-R 结构压缩函数的攻击基本上是 GOST-R 分组密码的弱点 (GOST 28147–89, 1989)。因此，在 2012 年，它更新为 GOST-R 34.11-2012，从 2013 年 1 月起取代了旧版本的所有应用程序。 GOST-R 34.11-2012 基于修改后的 Merkle-Damgård 结构。在这里，我们展示了 GOST-R 34.11-2012 的修改版本（Modified GOST-R (MGR) hash）。MGR 哈希的设计基于宽管结构，这也是改进的 Merkle-Damgård 结构。MGR 比 GOST-R 34.11-2012 安全得多，速度也快三倍。在设计 MGR 的压缩功能时使用了类似高级加密标准 (AES) 的分组密码，因为 AES 是最有效和最安全的分组密码之一，并且已被评估超过 14 年。本文结合了对 MGR 的其他一些攻击的详细统计分析。