SM3

• Project: implement the naïve birthday attack of reduced SM3
• Project: implement the Rho method of reduced SM3
• Project: implement length extension attack for SM3, SHA256, etc.
• Project: do your best to optimize SM3 implementation (software)
• Project: Impl Merkle Tree following RFC6962
• Project: Try to Implement this scheme

SM2 / SM2bygcl

• Project: report on the application of this deduce technique in Ethereum with ECDSA
• Project: impl sm2 with RFC6979 (李岱耕)
• Project: verify the above pitfalls with proof-of-concept code (郭灿林)
• Project: Implement the above ECMH scheme (郭灿林)
• Project: Implement a PGP scheme with SM2 (郭灿林)
• Project: implement sm2 2P sign with real network communication (郭灿林)
• Project: implement sm2 2P decrypt with real network communication (郭灿林)
• Project: PoC impl of the scheme, or do implement analysis by Google (李岱耕)

Bitcoin

• Project: send a tx on Bitcoin testnet, and parse the tx data down to every bit, better write script yourself
• Project: forge a signature to pretend that you are Satoshi

Ethereum

• Project: research report on MPT

Real world cryptanalyses

• Project: Find a key with hash value sdu_cst_20220610 under a message composed of your name followed by your student ID. For example, San Zhan 202000460001.
• Project: Find a 64-byte message under some $k$ fulfilling that their hash value is symmetrical.

Real world zk

• Project: Write a circuit to prove that your CET6 grade is larger than 425.
  • a. Your grade info is like (cn_id, grade, year, sig_by_moe). These grades are published as commitments onchain by MoE.
  • b. When you got an interview from an employer, you can prove to them that you have passed the exam without letting them know the exact grade.
• Project: The commitment scheme used by MoE is SHA256-based.
  • a. commit = SHA256(cn_id, grade, year, sig_by_moe, r)

SM4

• Project: Optimize SM4 implementation (software).