updates on lattices

src/HE.md

@@ -1,9 +1,9 @@
 # Fully Homomorphic Encryption
 
-## [Articles](https://github.com/ingonyama-zk/ingopedia/blob/Otsars-patch/src/introfhe.md)
+## [Articles](./introfhe.md)
 
-## [Schemes](https://github.com/ingonyama-zk/ingopedia/blob/Otsars-patch/src/schemesfhe.md)
+## [Schemes](./schemesfhe.md)
 
-## [Libraries](https://github.com/ingonyama-zk/ingopedia/blob/Otsars-patch/src/fhelibraries.md)
+## [Libraries](./fhelibraries.md)
 
-## [Mathematics](https://github.com/ingonyama-zk/ingopedia/blob/Otsars-patch/src/mathfhe.md)
+## [Mathematics](./mathfhe.md)

src/SUMMARY.md

@@ -34,9 +34,9 @@
       - [Hardware acceleration](./hwzk.md)
       - [Discrete Fourier Transforms](./fft.md)
       - [Multi Scalar Multiplications](./msm.md)
-- [Fully Homomorphic Encryption](./HE.md)
-  - [Articles](./introfhe.md)
-  - [Schemes](./schemesfhe.md)
-  - [Libraries](./fhelibraries.md)
-  - [Mathematics](mathfhe.md)
-
+- [Lattice based cryptography](./lattice.md)
+  - [Fully Homomorphic Encryption](./HE.md)
+    - [Articles](./introfhe.md)
+    - [Schemes](./schemesfhe.md)
+    - [Libraries](./fhelibraries.md)
+    - [Mathematics](mathfhe.md)

src/introfhe.md

@@ -21,21 +21,16 @@
 - [fhevm](https://github.com/zama-ai/fhevm)
   - [fhEVM - Morten Dahl](https://www.youtube.com/watch?v=vreZoESyBCs)
 
-
 ## Implementations
 
 - [FPT: a Fixed-Point Accelerator for Torus Fully Homomorphic Encryption](https://eprint.kobi.one/2022/1635)
 - [Open Source implementations](https://people.csail.mit.edu/vinodv/FHE/FHE-refs.html )
 
 ## Security
 
-
 - [Security of FHE Schemes](https://www.zama.ai/post/estimating-the-security-of-homomorphic-schemes)
-  - [Lattice based attacks](https://blog.simons.berkeley.edu/2020/04/lattice-blog-reduction-part-i-bkz/)
-- [On concrete hardness of LWE](https://eprint.iacr.org/2015/046.pdf)
 
 ## Survey papers
 
 - [Survey on Fully Homomorphic Encryption, Theory, and Applications](https://eprint.iacr.org/2022/1602)
-- [Relations between RLWE schemes](https://eprint.kobi.one/2018/758)
-
+- [CHIMERA: Combining Ring-LWE-based Fully Homomorphic Encryption Schemes](https://eprint.kobi.one/2018/758)

src/lattice.md

@@ -0,0 +1,45 @@
+# Lattice based cryptography
+
+## General
+
+- [Reference repository for Lattice based cryptography](https://thelatticeclub.com)
+- [Lattice based cryptography - Micciancio and Regev](https://cims.nyu.edu/~regev/papers/pqc.pdf)
+- [A decade of Lattice cryptography - Peikert](https://eprint.iacr.org/2015/939.pdf)
+- [Survey of polynomial multiplications for lattice based cryptosystems](https://eprint.iacr.org/2023/1962.pdf)
+
+### Lecture series/Conferences
+
+- [Lattices algorithms and complexity bootcamp](https://www.youtube.com/playlist?list=PLgKuh-lKre10rqiTYqJi6P4UlBRMQtPn0)
+- [Computational challenges in the theory of lattices](https://icerm.brown.edu/programs/sp-s18/w4/)
+- [Lattices LWE and PQC - Vinod Vaikuntanathan](https://people.csail.mit.edu/vinodv/CS294/)
+
+## Lattice problems
+
+- [on BDD USVP and minmum distance problem](https://slideplayer.com/slide/13543875/)
+- [Fine grained hardness of Lattice problems](https://blog.simons.berkeley.edu/2020/05/fine-grained-hardness-of-lattice-problems-open-questions/)
+
+### Learning With Errors (LWE)
+
+- [On lattices LWE, RLC and cryptography - Regev](https://arxiv.org/abs/2401.03703)
+- [On concrete hardness of LWE](https://eprint.iacr.org/2015/046.pdf)
+- [Variants of LWE - thesis](https://pure.royalholloway.ac.uk/ws/portalfiles/portal/36929800/2020deoraiphd.pdf)
+- [The Learning with Errors Problem](https://cims.nyu.edu/~regev/papers/lwesurvey.pdf)
+- [RLWE in polynomial rings](https://eprint.iacr.org/2012/235)
+- [RLWE in any number field](https://eprint.iacr.org/2017/258)
+- [Pseudorandomness of RLWE for any ring and modulus](https://eprint.iacr.org/2017/258)
+
+### Short Integer Solution (SIS)
+
+- [Generating hard instances of lattice problems - Ajtai](https://dl.acm.org/doi/pdf/10.1145/237814.237838)
+- [Relationships between LWE and SIS](https://www.youtube.com/watch?v=H3trFEeJ2Wg)
+- [Ring SIS and ideal lattices - notes](https://people.csail.mit.edu/vinodv/6876-Fall2018/RingSISclass.pdf)
+- [Lattice cryptography and SIS problem](https://crypto.stanford.edu/cs355/18sp/lec9.pdf)
+
+### Security
+
+- [Lattice based attacks](https://blog.simons.berkeley.edu/2020/04/lattice-blog-reduction-part-i-bkz/)
+- [Lattice estimator](https://github.com/malb/lattice-estimator)
+
+## Cryptographic schemes built on Lattice based cryptography
+
+- [Fully Homomorphic Encryption](./introfhe.md)

src/mathfhe.md

@@ -2,28 +2,16 @@
 
 ## **UNDER CONSTRUCTION** 👷
 
-## Review Articles 
-[Lattice cryptography](https://eprint.iacr.org/2015/939.pdf)
-
-## Discrete & Continuous Fourier Transform 
+## Discrete & Continuous Fourier Transform
 
 ### FFT
 
-## Encryption Method 
+## Encryption Method
 
 ### LWE
-- [On Lattices, Learning with Errors, Random Linear Codes, and Cryptography](https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.215.3543&rep=rep1&type=pdf)
-- [The Learning with Errors Problem](https://cims.nyu.edu/~regev/papers/lwesurvey.pdf)
-- [RLWE in polynomial rings](https://eprint.iacr.org/2012/235)
-- [RLWE in any number field](https://eprint.iacr.org/2017/258)
-- [Pseudorandomness of RLWE for any ring and modulus](https://eprint.iacr.org/2017/258)
+
 - [GGSW](https://eprint.iacr.org/2013/340.pdf)
 
 ## Techniques
 
-- [Bootstrapping](https://www.cs.cmu.edu/~odonnell/hits09/gentry-homomorphic-encryption.pdf)
-
-
-
-
-
+- [Bootstrapping](https://www.cs.cmu.edu/~odonnell/hits09/gentry-homomorphic-encryption.pdf)